17860
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 22460
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6624
- Möbius Function
- 0
- Radical
- 8930
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 48
- 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
- Expansion of 1 / Product_{k >= 1} (1-q^k)^2*(1-q^(11k))^2.at n=19A032442
- Expansion of Product_{k>0} (1 + A004001(k)*x^k).at n=27A147869
- G.f.: 1/G(0) where G(k) = 1 + (-q)^(k+1) / (1 - (-q)^(k+1)/G(k+1) ).at n=58A227310
- a(n) = phi( a(n-1) + a(n-2) + 1) with a(0) = 0 and a(1) = 1.at n=25A228807
- Least common multiple of 7*n+1 and 7*n-1.at n=27A282286
- Numbers m > 0 that have a divisor d > 1 with binomial(m+d, d) == 1 mod m.at n=30A290040
- Sums of antidiagonals in A297359.at n=14A297188
- Record values in A216476.at n=23A306564
- Numbers m such that m^2+1 is prime with (m-1)^2+1 and (m+1)^2+1 semiprimes.at n=32A321795
- Numbers that are the sum of six fourth powers in four or more ways.at n=29A345561
- Numbers that are the sum of six fourth powers in exactly four ways.at n=27A345816