5039
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5038
- Möbius Function
- -1
- Radical
- 5039
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 134
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 675
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of inequivalent planar partitions of n, when considering them as 3D objects.at n=18A000786
- Largest prime factor of n! - 1.at n=5A002582
- Largest prime <= n!.at n=5A006990
- Coordination sequence for sigma-CrFe, Position Xa.at n=18A009962
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=36A014223
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=30A025024
- Primes of the form k^2 - 2.at n=21A028871
- If n is even, 2(n/2 + 1)! - 1; if n is odd, ((n + 1)/2 + 1)! - 1.at n=10A030494
- 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 69.at n=28A031567
- Upper prime of a difference of 16 between consecutive primes.at n=16A031935
- a(n) = n! - 1.at n=7A033312
- a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1).at n=19A037165
- Primes with first digit 5.at n=22A045711
- Primes of the form n*phi(n)-1 where phi is the Euler function (in order of appearance).at n=42A046078
- Triangle of numbers T(n,k) = number of permutations of n things with longest increasing subsequence of length <=k (1<=k<=n).at n=26A047887
- Duplicate of A000786.at n=17A048239
- a(n) = prime(n)^2 - 2.at n=19A049001
- Primes of form p^2 - 2, where p is prime.at n=11A049002
- Differences of two factorial numbers.at n=21A051949
- Number of permutations in S_n with longest increasing subsequence of length <= 6.at n=7A052399