13177
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13178
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13176
- Möbius Function
- -1
- Radical
- 13177
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 169
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1568
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 95.at n=10A020434
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...).at n=26A024479
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=37A024848
- Expansion of ( 1-x-x^2 ) / ( 1-2*x-2*x^2+x^3+x^4 ).at n=11A052960
- Primes p such that x^61 = 2 has no solution mod p.at n=27A059230
- Primes p such that x^18 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=27A059664
- Primes p such that x^54 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=29A059665
- Number of divisors of n! which are also differences between consecutive divisors of n! (ordered by size).at n=20A060742
- Primes of form Sum_{k=1..n} (prime(k)+1).at n=32A062736
- Numbers p such that p = (prime(n)+ prime(n+2))/2 is prime for prime indices n=2, 3, 5...at n=18A098038
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=37A100697
- Primes p such that p's set of distinct digits is {1,3,7}.at n=12A108382
- Inverse of number-theoretic triangle A109974.at n=23A109977
- n+prime(n)+prime(prime(n)) is a triangular number, where prime(n) is the n-th prime.at n=15A116010
- a(n) = n^4 - n^3 - n^2 - n - 1.at n=11A125082
- E.g.f.: A(x) = [ exp(x)/(5 - 4*exp(x)) ]^(1/5).at n=5A136729
- Primes congruent to 16 mod 41.at n=33A142213
- Primes congruent to 19 mod 43.at n=41A142268
- Primes congruent to 17 mod 47.at n=35A142368
- Primes congruent to 45 mod 49.at n=37A142452