10608
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 31248
- Proper Divisor Sum (Aliquot Sum)
- 20640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 1326
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 29
- 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
- Weight distribution of nonlinear binary (36,2^18,8) code.at n=12A030030
- Weight distribution of nonlinear binary (36,2^18,8) code.at n=6A030030
- Numbers whose set of base-15 digits is {2,3}.at n=23A032815
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=14A033829
- Denominators of continued fraction convergents to sqrt(985).at n=9A042907
- Number of conjugacy classes in the group GL_2(K) when K is a finite field with q = p^m for a prime p and m >= 1.at n=36A060615
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=24A060664
- a(0)=1, a(n) = 8*n*(2*n-1).at n=26A067239
- a(n) = (prime(n)-1)*(prime(n)+1).at n=26A084920
- Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite.at n=24A088072
- a(n) = a(n-1)+a(n-2)+a(n-3)+2 with a(0)=0, a(1)=0 and a(2)=1.at n=16A089068
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=40A090782
- Number of 4 X 4 magic squares with line sum n.at n=7A093199
- An Alexander sequence for the knot 6_3.at n=17A099447
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 11 for n > 0.at n=11A101133
- a(n) = binomial(n+2,2)*binomial(n+6,2).at n=11A104473
- Period of the Lucas 4-step sequence A073817 mod prime(n).at n=26A106296
- Nonsquarefree numbers such that n-1 is prime and n+1 is square.at n=25A146980
- The 3rd Witt transform of A000292.at n=10A147621
- Eight times hexagonal numbers: a(n) = 8*n*(2*n-1).at n=26A152750