13673
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15162
- Proper Divisor Sum (Aliquot Sum)
- 1489
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12320
- Möbius Function
- 0
- Radical
- 1243
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 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
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 31*n^2 + 2 for n>0.at n=21A010020
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=43A019450
- Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=27A046961
- Length of hypotenuse squared in right triangle formed by a palindromic spiral plotted in Cartesian coordinates.at n=16A048871
- Numbers k such that (67*10^(k-1) + 23)/9 is a depression prime.at n=6A082712
- Products of two consecutive prime powers.at n=40A121315
- Product between n-th prime and next perfect square.at n=29A229497
- a(n) = A050376(n)*A050376(n+1) where A050376(n) is the n-th number of the form p^(2^k) with p is prime and k >= 0.at n=35A240521
- Coordination sequence for "tcd" 3D uniform tiling.at n=42A299287
- Sum of the fourth largest parts in the partitions of n into 8 parts.at n=40A308995
- Coefficient of x^(2*n) in (-1 + Product_{k>=1} 1 / (1 + x^k))^n.at n=11A341265
- a(n) is the smallest number k such that A275235(k) = n.at n=15A354840
- Partials sums of the cubefull numbers (A036966).at n=24A362971