13651
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15984
- Proper Divisor Sum (Aliquot Sum)
- 2333
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11520
- Möbius Function
- -1
- Radical
- 13651
- 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
- 120
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(2*n+5)*(n-1)/6.at n=34A051925
- Numbers k such that A048138(k) is a prime and sets a new record for such primes.at n=33A064440
- Sides of integer Heronian triangles [A068967(n), prime(A068967(n)), a(n)] with area A068969(n).at n=18A068968
- Number of multiples of n with no zero digit with sum of digits = n.at n=18A075397
- Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n.at n=16A076164
- Generalized Jacobsthal numbers.at n=13A084640
- a(n) = digit reversal of (11^n) divided by 11.at n=4A088113
- Divisors of 10^16 - 1.at n=39A111211
- a(n) = 2*a(n-1) + a(n-2) - 2*a(n-3).at n=13A140359
- Hankel transform of expansion of 1/c(x)^3, c(x) the g.f. of A000108.at n=32A144701
- a(n) = (5*2^n - 2*(-1)^n - 9)/3.at n=12A173078
- Numbers k whose sum of digits equals the period of 1/k.at n=34A178495
- a(n) is the genus of the modular curve associated to the principal congruence subgroup of level p(n), where p(n) is the n-th prime number.at n=18A191590
- Number of (w,x,y) with all terms in {0,...,n} and max(w,x,y) >= 2*min(w,x,y).at n=25A213390
- Zeroless numbers k such that k - (sum of digits of k) and k - (product of digits of k) contain the same distinct digits as k.at n=2A248717
- Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011.at n=5A260498
- Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011.at n=4A260499
- Numbers n such that phi(n) = 4*phi(n-1).at n=1A268126
- a(n) = (n + 1)*(2*n + 1)*(4*n + 9)/3.at n=16A269342
- a(n) = 10*(4^n - 1)/3 + 1.at n=6A321421