6624
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 19656
- Proper Divisor Sum (Aliquot Sum)
- 13032
- 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
- 2112
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 8
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 93
- 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
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=27A001103
- Susceptibility series for f.c.c. lattice.at n=2A002166
- a(n) = n*(n+1)^2/2.at n=23A006002
- Number of squarefree palindromes over {0, 1, 2} of length 2n+1.at n=30A012212
- a(n) = n*(25*n + 1)/2.at n=23A022283
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=49A026062
- a(n) = (1/2)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2).at n=49A028724
- Theta series of 13-dimensional lattice Kappa_13 with minimal norm 4.at n=3A029897
- Numbers divisible by the sum and product of their digits.at n=40A038186
- Number of primes between n*100000 and (n+1)*100000.at n=38A038825
- Numbers having three 0's in base 9.at n=22A043455
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=20A045288
- Least k for which the integers Floor(k/(m*(m+1))) for m=1,2,...,n are distinct.at n=26A054061
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=19A060664
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 25 (most significant digit on right).at n=11A061978
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=30A063346
- a(n) = 12*n*(n-1).at n=24A064200
- 9 times octagonal numbers: a(n) = 9*n*(3*n-2).at n=16A064201
- a(n) = 3*n^2 + 6*n.at n=46A067725
- Nonsquares which are the product of two numbers with the same digits (leading zeros are forbidden).at n=32A072443