13677
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 5139
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8832
- Möbius Function
- -1
- Radical
- 13677
- 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
- 151
- 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
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=27A031903
- Number of partitions satisfying cn(0,5) <= cn(2,5) + cn(3,5).at n=35A039840
- Denominators of continued fraction convergents to sqrt(345).at n=11A041653
- Numbers n which are divisors of the number produced by concatenating (n-5), (n-4), ... (n-1) in that order.at n=0A088870
- Sums of p-th to the q-th prime where p and q are twin primes.at n=27A114379
- The ED3 array read by antidiagonals.at n=41A167572
- The fourth row of the ED3 array A167572.at n=5A167574
- Numbers k such that (856*10^k - 1) / 9 is prime.at n=23A278334
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 646", based on the 5-celled von Neumann neighborhood.at n=13A283583
- a(1) = 1; a(n+1) is the smallest k > a(n) such that 2^k == 2^a(n) (mod a(n)).at n=47A306829
- Number of (binary) max-heaps on n elements from the set {0,1} containing exactly five 0's.at n=33A326506
- G.f. satisfies A(x) = 1 + x^5 / (1 - x*A(x)).at n=30A365698
- Number of integer partitions of n whose length (number of parts) is not equal to the sum of any submultiset.at n=54A367213
- Numbers k such that k + sopfr(k) is a cube.at n=18A389862