5142
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10296
- Proper Divisor Sum (Aliquot Sum)
- 5154
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1712
- Möbius Function
- -1
- Radical
- 5142
- Omega Function (Ω)
- 3
- 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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 bipartite partitions of n white objects and 2 black ones.at n=18A000291
- Numbers that are the sum of 8 positive 7th powers.at n=23A003375
- Erroneous version of A182322.at n=8A007174
- Coordination sequence T1 for Zeolite Code MEL.at n=46A008150
- Nearest integer to Gamma(n + 2/5)/Gamma(2/5).at n=8A020039
- a(n) = floor( Gamma(n + 2/5)/Gamma(2/5) ).at n=8A020084
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left).at n=28A029447
- 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 70.at n=18A031568
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=28A038637
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=36A043084
- Bessel function J_0(n) is a monotonically decreasing positive sequence.at n=16A046960
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=29A046962
- Numbers which are the sum of their proper divisors containing the digit 7.at n=5A059466
- Initial values for the iteration of the function f(x) = A063919(x) such that the iteration ends in a 5-cycle, i.e., in A097024.at n=37A097035
- Numbers k such that 216*k+108 is a term of A097703 and A007494 and A098240.at n=5A098241
- Number of partitions of n with odd crank.at n=33A124228
- Limit of unsigned reversed rows of triangle A144006.at n=9A144007
- Coefficients for expansion of (g(x)d/dx)^n g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^(-1) 1/g(x); iterated derivatives as infinitesimal generators of flows.at n=55A145271
- A triangular sequence designed with row sums 2*3^n with first column A064263.at n=40A153288
- Numbers k such that k and k+3 are in A002822.at n=38A173233