13626
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29562
- Proper Divisor Sum (Aliquot Sum)
- 15936
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 0
- Radical
- 4542
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7).at n=43A017829
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=32A032549
- Multiplicity of highest weight (or singular) vectors associated with character chi_51 of Monster module.at n=49A034439
- Numbers that divide the sum of cubes of their divisors.at n=41A046763
- Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.at n=33A062944
- Numbers m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,23.at n=1A064248
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=30A077096
- Expansion of (1-x)^(-1)/(1-x+2*x^2-x^3).at n=36A077875
- Pseudo-random numbers: gcc 2.6.3 version for 32-bit integers.at n=36A084276
- a(n) + a(n+1) + a(n+2) = 3^n.at n=10A152733
- a(n) = (5*2^(n+1)-9-(-1)^n)/6-2*n.at n=13A171507
- a(n) = sum(Stirling2(n,k)*Stirling2(n+1,k+1)*Stirling2(n+2,k+2),k=0..n).at n=4A192568
- Number of (n+1)X(n+1) 0..2 symmetric matrices with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in lower triangle row major order.at n=4A210856
- Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.at n=35A234362
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 5.at n=46A240014
- a(n) = 324*n^2 - 336*n + 102 (n >= 1).at n=6A304165