17388
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 53760
- Proper Divisor Sum (Aliquot Sum)
- 36372
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 0
- Radical
- 966
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 185
- 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
- Theta series of 14-dimensional unimodular lattice (E7+E7)+.at n=4A004535
- A simple grammar: cycles of pairs of cycles.at n=7A052824
- a(0) = c, a(1) = p*c^3; a(n+2) = p*c^2*a(n+1) - a(n), for p = 2, c = 3.at n=3A065102
- Denominators of e.g.f.: tan(arccosh(x)) = cot(arcsinh(x)).at n=33A102062
- Denominators of e.g.f. cosec(arctanh(x)).at n=33A102077
- Least sum (n+1) + (n+2) + ... + (n+k) that is a multiple of the n-th triangular number, n(n+1)/2.at n=26A110351
- Phi(A033631(n)) {phi is the Euler totient function A000010}.at n=10A115620
- Number of increasing trees with hills of height 1.at n=7A125062
- 4 times heptagonal numbers: a(n) = 2*n*(5*n-3).at n=42A153784
- Triangle T(n, k) = binomial(2*k, k)*binomial(n+k, n-k) + binomial(2*n-k, k)*binomial(2*(n-k), n-k), read by rows.at n=30A156763
- Triangle T(n, k) = binomial(2*k, k)*binomial(n+k, n-k) + binomial(2*n-k, k)*binomial(2*(n-k), n-k), read by rows.at n=33A156763
- Averages of twin prime pairs that are sums of 5 consecutive averages of twin prime pairs.at n=12A160919
- Twin prime averages which are also the sum of the divisors of a triangular number.at n=22A166162
- Row sums of triangle A178239.at n=33A178240
- Number of quadrilaterals in a triangular matchstick arrangement of side n.at n=15A204185
- Numbers m with m - 1, m + 1 and q(m) + 1 all prime, where q(.) is the strict partition function (A000009).at n=20A235344
- Numbers n such that n is the average of four consecutive primes n-5, n-1, n+1 and n+5.at n=32A258088
- Molien series for invariants of finite Coxeter group A_11.at n=53A266780
- a(n) is the number of triangles (up to congruence) with integer coordinates that have perimeter strictly less than n.at n=40A298121
- Sum of the prime parts in the partitions of n into 6 parts.at n=36A309467