1312
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2646
- Proper Divisor Sum (Aliquot Sum)
- 1334
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 640
- Möbius Function
- 0
- Radical
- 82
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 114
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Partitions into non-integral powers (see Comments for precise definition).at n=10A000234
- Number of hill-free Dyck paths of semilength n+3 and having length of first descent equal to 1 (a hill in a Dyck path is a peak at level 1).at n=6A001558
- Numbers k such that 17*2^k - 1 is prime.at n=21A001774
- Numbers k such that phi(2k+1) < phi(2k).at n=16A001837
- Numbers k such that 57*2^k + 1 is prime.at n=19A002274
- Numbers that are the sum of 2 positive 4th powers.at n=16A003336
- Sums of distinct nonzero 4th powers.at n=33A003999
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=23A004831
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=29A005282
- Primitive pseudoperfect numbers.at n=21A006036
- Primitive nondeficient numbers.at n=18A006039
- Coordination sequence T4 for Zeolite Code MTW.at n=24A008199
- Triangle T(n,k) read by rows, giving number of graphs with n nodes (n >= 1) and k edges (0 <= k <= n(n-1)/2).at n=75A008406
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=6A008663
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=27A008665
- If a, b are in the sequence, so is ab+3.at n=34A009302
- Expansion of e.g.f. arcsin(tan(x) * exp(x)).at n=6A012361
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MOR = Mordenite Na8[Al8Si40O96].24H2O starting with a T4 atom.at n=10A019182
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite SGT = Sigma-2 [Si64O128].4R starting with a T3 atom.at n=10A019236
- Coordination sequence T5 for Zeolite Code CGF.at n=25A019455