301 (number)
Appearance
| ||||
|---|---|---|---|---|
| Cardinal | three hundred one | |||
| Ordinal | 301st (three hundred first) | |||
| Factorization | 7 × 43 | |||
| Divisors | 1, 7, 43, 301 | |||
| Greek numeral | ΤΑ´ | |||
| Roman numeral | CCCI, ccci | |||
| Binary | 1001011012 | |||
| Ternary | 1020113 | |||
| Senary | 12216 | |||
| Octal | 4558 | |||
| Duodecimal | 21112 | |||
| Hexadecimal | 12D16 | |||
301 (three hundred [and] one) is the natural number following 300 and preceding 302.
In mathematics
[edit]- 301 is an odd composite number with two prime factors,[1] which are 3, and 43.[2][3]
- 301 is a Stirling number of the second kind represented by {7/3} meaning that it is the number of ways to organize 7 objects into 3 non-empty sets.[4][5]
- 301 is the sum of three consecutive primes 97, 101, and 103.[6][7]
- 301 is a happy number, meaning that infinitely taking the sum of the squares of the digits will eventually result in 1.[8][9][10]
- 301 is a lazy caterer number meaning that it is the maximum number of pieces made by cutting a circle with 24 cuts.[11][12]
- 301 is the first, and smallest 6-hyperperfect number.[13][14][15]
- 301 is the number of intersections of diagonals inside a regular dodecagon.[11][16]
- 301 is a generalized pentagonal number.[17]
- 301 is a hexadecagonal number.[18]
- 301 is the number of 7-node simple graphs having clique number 4.[19]
- The number 301*2^184+1 is the first, and smallest Proth prime with k = 301.[20]
- 301 is a centered tridecagonal number.[21]
- The matula tree of 301 is a binary tree.[22]
- 301 is the nineteenth Blum integer.[23]
References
[edit]- ↑ "Facts about the integer". mathworld.wolfram.com.
- ↑ Vanovschi, Vitalii. "Properties of the number 301". www.numberempire.com. Retrieved 2026-07-22.
- ↑ "Factors of 301 - Find Prime Factorization/Factors of 301". Cuemath. Retrieved 2026-08-03.
- ↑ Sloane, N. J. A. (ed.). "Sequence A008277 (Triangle of Stirling numbers of the second kind)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Weisstein, Eric W. "Minimal Cover". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-20.
- ↑ Sloane, N. J. A. (ed.). "Sequence A034961 (Sums of three consecutive primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Coman, Marius (2015). Sequences of Integers, Conjectures and New Arithmetical Tools (PDF). 1313 Chesapeake Avenue Columbus, Ohio 43212 USA: Education Publishing. ISBN 978-1-59973-343-2. Retrieved 2026-09-20.
{{cite book}}: CS1 maint: location (link) - ↑ Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map (see A003132) includes 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "Number 301 - Happy Number, Properties & Facts | NumberWorld". numberworld.info. Retrieved 2026-07-24.
- ↑ Guy, Richard (2013-03-09). Unsolved Problems in Number Theory. Springer Science & Business Media. ISBN 978-0-387-26677-0.
- 1 2 Khovanova, Tanya. "Properties of 301". Number Gossip. Retrieved 2026-09-20.
- ↑ Sloane, N. J. A. (ed.). "Sequence A000124 (Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A028499 (6-hyperperfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Koninck, Jean-Marie De (2009). Those Fascinating Numbers. American Mathematical Soc. ISBN 978-0-8218-4807-4.
- ↑ Weisstein, Eric W. "Hyperperfect Number". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-20.
- ↑ Sloane, N. J. A. (ed.). "Sequence A006561 (Number of intersections of diagonals in the interior of a regular n-gon)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A001318 (Generalized pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sloane, N. J. A. (ed.). "Sequence A051868 (16-gonal (or hexadecagonal) numbers: a(n) = n*(7*n-6).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Weisstein, Eric W. "Clique Number". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-20.
- ↑ "Prime Curios! 301". t5k.org. Retrieved 2026-09-20.
- ↑ Sloane, N. J. A. (ed.). "Sequence A195313 (Generalized 13-gonal numbers: m*(11*m-9)/2 with m = 0, 1, -1, 2, -2, 3, -3, ...)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Briggs, Keith. "Matula numbers and rooted trees". keithbriggs.info. Retrieved 2026-09-20.
- ↑ Sloane, N. J. A. (ed.). "Sequence A016105 (Blum integers: numbers of the form p * q where p and q are distinct primes congruent to 3 (mod 4))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.