5952
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 16256
- Proper Divisor Sum (Aliquot Sum)
- 10304
- 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
- 1920
- Möbius Function
- 0
- Radical
- 186
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 23
- 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
- a(n) = (n-1)*n*(n+4)/6.at n=32A005581
- Sum of divisors of superabundant numbers (A004394).at n=16A007626
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=32A011887
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=54A011907
- Number of partitions of 2*n into at most 4 parts.at n=45A014126
- Expansion of A007245^24.at n=1A028517
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left).at n=29A029447
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 37.at n=33A031535
- Numbers k such that 141*2^k+1 is prime.at n=38A032420
- Numbers whose set of base-7 digits is {2,3}.at n=40A032807
- Record values of sigma(n).at n=50A034885
- Base-7 palindromes that start with 2.at n=39A043016
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u2.at n=17A048190
- 12 times triangular numbers.at n=31A049598
- Even numbers not the sum of a pair of twin lucky numbers.at n=59A057702
- McKay-Thompson series of class 10A for Monster.at n=9A058097
- a(n) = |{m : multiplicative order of 10 mod m is equal to n}|.at n=31A059892
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=22A060675
- a(1) = 0; for n > 1 a(n) = sum of divisors of n^2-1; or sigma(A005563(n-1)).at n=40A062835
- Sum of divisors of Ramanujan's highly composite numbers, or sigma(A002182(n)).at n=16A063072