13460
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 28308
- Proper Divisor Sum (Aliquot Sum)
- 14848
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 6730
- 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
- 45
- 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
- Coordination sequence for MgZn2, Position Zn2.at n=29A009938
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 58.at n=3A031736
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=37A032246
- Values of A038007 not ending in 6 or 8.at n=25A038009
- Denominators of continued fraction convergents to sqrt(607).at n=10A042165
- McKay-Thompson series of class 30D for Monster.at n=35A058615
- Interprimes which are of the form s*prime, s=20.at n=14A075295
- Number of partitions of n such that the set of even parts has only one element.at n=44A090867
- Iccanobirt prime indices (12 of 15): Indices of prime numbers in A102122.at n=22A102142
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=9A149842
- a(n) = 16*n^2 + 4.at n=28A158444
- McKay-Thompson series of class 30D for the Monster group with a(0) = 2.at n=35A205962
- Total number of n-digit positive integers with multiplicative digital root value 2.at n=5A263477
- Growth series for affine Coxeter group (or affine Weyl group) D_5.at n=16A266760
- Square spiral in which each new term is the sum of its two largest neighbors.at n=49A278180
- Number of compositions (ordered partitions) of n into unitary divisors of n.at n=28A286851
- G.f.: Sum_{k>=1} x^k/(1-x^k) * Product_{k>=1} (1+x^k).at n=37A305082
- a(n) = sum of a(n-4) and a(n-5), with the lowest possible initial values that will generate a sequence where a(n) is always > a(n-1): 4, 5, 6, 7 and 8.at n=52A321025
- a(n) is the greatest k > 0 such that Sum_{j=1..n} j*(-k)^j/(k+n) is an integer, for n > 1 and a(n) != n + 1.at n=3A335114
- Number of partitions of n into an even number of parts that are not multiples of 3.at n=51A339404