13990
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25200
- Proper Divisor Sum (Aliquot Sum)
- 11210
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5592
- Möbius Function
- -1
- Radical
- 13990
- Omega Function (Ω)
- 3
- 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
- 107
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of partitions of n if there are two kinds of 1's and two kinds of 2's.at n=23A000097
- Expansion of Product_{m>=1} (1 + q^m)^(-8).at n=12A007259
- Coefficients of completely replicable function "6d".at n=36A007263
- Expansion of ((theta_2)^4 + (theta_3)^4) / eta(z/2)^4.at n=6A014705
- Closed walks of length n along the edges of a pentagon based at a vertex.at n=16A054877
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=30A065255
- a(n) = ceiling(((1*n^0 + 1*n^1 + 2*n^2 + 4*n^3)/(1*n^0 + 2*n^1 + 1*n^2))^2).at n=30A085505
- Number of closed walks of length 2n at a vertex of the cyclic graph on 10 nodes C_10.at n=8A095929
- McKay-Thompson series of class 12D for the Monster group.at n=12A101127
- a(n) = 6 + floor( Sum_{j=1..n-1} a(j)/4 ).at n=35A120164
- a(n) = Sum_{ k >= 0} binomial(n,5*k+3).at n=16A139748
- a(n) = Sum_{k == floor(n/2) (mod 5)} C(n,k).at n=16A173125
- Numbers n such that n!8-1 is prime.at n=53A204662
- Expansion of (phi(x) / f(-x^4))^4 in powers of x where phi(), f() are Ramanujan theta functions.at n=24A227175
- Number of length n+4 0..6 arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two.at n=0A248999
- T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two.at n=15A249001
- Number of length 1+4 0..n arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two.at n=5A249002
- Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+3) / (5*k+3)! ).at n=16A365912
- Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 7.at n=10A383079