5316
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12432
- Proper Divisor Sum (Aliquot Sum)
- 7116
- 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
- 1768
- Möbius Function
- 0
- Radical
- 2658
- Omega Function (Ω)
- 4
- 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
- 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) = floor(tau*a(n-1)) + floor(tau*a(n-2)) with a(0)=0 and a(1)=2.at n=11A005909
- Expansion of Product_{m>=1} (1 + q^m)^(-8).at n=10A007259
- Coefficients of completely replicable function "6d".at n=30A007263
- Expansion of ((theta_2)^4 + (theta_3)^4) / eta(z/2)^4.at n=5A014705
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=46A015632
- Expansion of Product_{m>=1} (1+x^m)^12.at n=5A022577
- n written in fractional base 7/5.at n=27A024642
- First differences of A037260.at n=25A037261
- Numbers n such that 107*2^n-1 is prime.at n=15A050579
- Numbers k such that phi(x) = k has exactly 7 solutions.at n=33A060670
- Concatenation of n-th prime and n in decimal notation.at n=15A075110
- Interprimes which are of the form s*prime, s=12.at n=17A075287
- McKay-Thompson series of class 12D for the Monster group.at n=10A101127
- Expansion of q * (psi(q^4) / phi(-q))^2 in powers of q where phi(), psi() are Ramanujan theta functions.at n=10A107035
- Expansion of 2*x^2*(1-x)/(1-3*x+2*x^2-2*x^3).at n=11A115219
- Expansion of 1/(2*sqrt(1-2*x-3*x^2) - 1).at n=7A115967
- G.f. satisfies: A(x) = 1 + x*A(x)^2 + 2*x^2*(A(x)^2 - A(x)); equals the base sequence of pendular trinomial triangle A122445.at n=8A122446
- Positions of 11's in A131744.at n=0A133152
- Sum of proper divisors minus the number of proper divisors of Fibonacci number A000045(n).at n=19A152990
- a(n) = sigma_2(n) + 3 sigma(n) tau(n) + tau(n)^3.at n=41A162665