13600
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 35154
- Proper Divisor Sum (Aliquot Sum)
- 21554
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 170
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- Positive numbers k such that k and 4*k are anagrams in base 7 (written in base 7).at n=12A023070
- One seventh of 9-factorial numbers.at n=3A035021
- a(n+1) = a(n)-th composite number, with a(1) = 11.at n=33A059407
- Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in the center.at n=25A089474
- a(n) = Sum_{k=0..floor(n/2)} C(n,2k)*Pell(k).at n=12A101893
- Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.at n=12A112536
- Number of permutations of length n which avoid the patterns 1234, 2431, 4213.at n=11A116813
- Experience Points thresholds for levels in the pen and paper role-playing game "Das Schwarze Auge" (DSA, a.k.a. "The Dark Eye").at n=16A124437
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k ascents of length 1.at n=59A128749
- Integers k such that 10^k + 69 is a prime number.at n=19A135114
- Consider pairs m,n such that 1/(UnitaryPhi(m))^(1/2)=1/(UnitaryPhi(n))^(1/2)=k^(1/2)*(1/m^(1/2)-1/n^(1/2)), n<m; sequence gives values of k.at n=2A143688
- 4 times octagonal numbers: a(n) = 4*n*(3*n-2).at n=34A153794
- a(n) = 441*n^2 - 394*n + 88.at n=5A157734
- A walk of 10-divisible "less regular" figurate cuboctahedra, from sequence A160249.at n=29A160517
- Totally multiplicative sequence with a(p) = 7p-1 for prime p.at n=44A166656
- Numbers p^5*q^2*r where p, q, r are 3 distinct primes.at n=25A179691
- Molecular topological indices of the hypercube graphs.at n=4A192831
- Degrees of irreducible representations of symplectic group S8(2).at n=43A214469
- Limit of rows, when read in reverse, of triangle A227372.at n=21A227377
- Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock equal.at n=2A237891