10656
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
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 31122
- Proper Divisor Sum (Aliquot Sum)
- 20466
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 222
- 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
- 117
- 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
- Number of discordant permutations.at n=4A000563
- Fourier coefficients of E_{infinity,4}.at n=22A007331
- Positive numbers k such that k and 6*k are anagrams in base 7 (written in base 7).at n=4A023072
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=35A029690
- Numbers k such that 133*2^k+1 is prime.at n=21A032416
- Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere.at n=36A035008
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 4).at n=45A035547
- a(n) = A004017(n)/2.at n=10A045825
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x9^2 = n.at n=23A045851
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 3.at n=14A049926
- Numbers k such that sigma (x) = k has exactly 11 solutions.at n=12A060678
- Successive maxima in sequence A060457.at n=45A061011
- Number of primes between n^4 and (n+1)^4.at n=33A061235
- Triangle T(n,k) defined by Sum_{n >= 0,m >= 0} T(n,m)*x^m*y^n = 1 + y*(1 + 3*x - 4*x^2*y - 3*x^2*y^2 - 3*x^3*y^2 + 4*x^4*y^3)/((1 - y - 2*x*y - x*y^2 + x^3*y^3)*(1 - x*y)).at n=50A061702
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,5.at n=20A064239
- Composite numbers k such that sigma(k)*(phi(k) + 2) is a square.at n=21A065655
- Integers k such that k*28*c + 1 is prime for c = 1, 2, 4, 7 and 14.at n=6A067199
- Numbers which are sums of two and also sums of three positive cubes.at n=20A085336
- Numbers which are sums of two, three and four cubes.at n=10A085337
- Numbers which are sums of two, three, four and also sums of five cubes.at n=9A085338