1372
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2800
- Proper Divisor Sum (Aliquot Sum)
- 1428
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 588
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 5
- 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
- 127
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of Boolean functions of n variables.at n=4A000613
- A generalized partition function.at n=11A002602
- Rotatable partitions.at n=32A002722
- High temperature expansion of -u/J in odd powers of v = tanh(J/kT), where u is energy per site of the spin-1/2 Ising model on square lattice with nearest-neighbor interaction J at temperature T.at n=6A002908
- Numbers of form 2^i*7^j, with i, j >= 0.at n=26A003591
- a(n) = (n + 1)*(n + 2)*(n + 4)*(n + 8)*(n + 15)/120.at n=6A006636
- Number of 3-voter voting schemes with n linearly ranked choices.at n=12A007009
- Coordination sequence T2 for Zeolite Code AEI.at n=28A008002
- Coordination sequence T2 for Zeolite Code AST.at n=28A008037
- Coordination sequence T4 for Zeolite Code MEI.at n=27A008149
- Coordination sequence T1 for Zeolite Code PAU.at n=27A008219
- Coordination sequence T1 for Zeolite Code TON.at n=23A008241
- If a, b are in the sequence, so is ab+3.at n=35A009302
- Numbers k such that k divides phi(k) * sigma(k).at n=43A011775
- Triangle of coefficients in expansion of (1+7x)^n.at n=13A013614
- Triangle of coefficients in expansion of (1+7x)^n.at n=38A013614
- Molien series of 4-dimensional representation of u.g.g.r. #9.at n=7A013977
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=14A013978
- Partial sums of primes, if 1 is regarded as a prime (as it was until quite recently, see A008578).at n=28A014284
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.at n=29A015707