13860
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 72
- Divisor Sum
- 52416
- Proper Divisor Sum (Aliquot Sum)
- 38556
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 2310
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 5
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
- yes
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 151
- 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
- Pell numbers: a(0) = 0, a(1) = 1; for n > 1, a(n) = 2*a(n-1) + a(n-2).at n=12A000129
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=37A000793
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=36A000793
- a(n) = (2n+3)! /( n! * (n+1)! ).at n=4A000911
- Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.at n=59A001263
- Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.at n=61A001263
- Triangle of coefficients of Bessel polynomials (exponents in decreasing order).at n=51A001497
- Triangle a(n,k) (n >= 0, 0 <= k <= n) of coefficients of Bessel polynomials y_n(x) (exponents in increasing order).at n=48A001498
- a(n) = 6*a(n-1) - a(n-2) for n > 1, a(0)=0 and a(1)=2.at n=6A001542
- Denominator in Feinler's formula for unsigned Bernoulli number |B_{2n}|.at n=10A002444
- Denominators of coefficients for numerical differentiation.at n=11A002548
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=20A002790
- Increasing values of A000793 (largest order of permutation of n elements).at n=23A002809
- Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=24A002965
- Maximal period of an n-stage shift register.at n=14A005417
- a(n) = n*(n+1)*(2*n+1)/3.at n=27A006331
- a(n) = binomial(n+5,5) * binomial(n+5,4)/(n+5).at n=6A006857
- Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=34A008556
- Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=22A008556
- Degrees of irreducible representations of group U6(2).at n=34A008948