13076
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26208
- Proper Divisor Sum (Aliquot Sum)
- 13132
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5592
- Möbius Function
- 0
- Radical
- 6538
- 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
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes.at n=24A024697
- a(n) = T(n,n-4), array T as in A055807.at n=38A055809
- Number of different strings of length n+5 obtained from "123...n" by iteratively duplicating any substring.at n=11A137740
- Maximal length of rook tour on an n X n+4 board.at n=24A152135
- Number n such that the sum of its proper evil divisors (A001969) equals n.at n=21A230587
- Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=10A240359
- Numbers n such that Bernoulli number B_{n} has denominator 870.at n=43A272185
- Numbers n such that n^3 contains the consecutive substring 2,3,5,7.at n=10A295900
- Primitive abundant numbers (A091191) with a record gap to the next primitive abundant number.at n=11A334418
- Triangular array read by rows: T(n,k) = the number of closed meanders with n top arches and k closed meanders in the reduction of the closed meander by the reverse of the exterior arch splitting algorithm.at n=30A363910
- Table read by antidiagonals: T(m,n) = number of 3-metered (m,n)-parking functions.at n=61A372819
- Table read by antidiagonals: T(m,n) = number of (m-2)-metered (m,n)-parking functions.at n=61A372821