17250
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 44928
- Proper Divisor Sum (Aliquot Sum)
- 27678
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4400
- Möbius Function
- 0
- Radical
- 690
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- Degrees of irreducible representations of Conway group Co1.at n=5A003903
- a(n) = n*(n+1)*(n+2)*(n+7)/24.at n=23A005582
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=28A010012
- T(2n+1,n+3), T given by A026769.at n=6A026889
- Numbers k such that 3^k - phi(k) is prime.at n=16A109889
- Number of reduced words of length n in the Weyl group B_46.at n=3A162186
- a(n) = (2*n^3 + 5*n^2 + 5*n)/2.at n=24A162267
- Number of reduced words of length n in the Weyl group D_46.at n=3A162452
- a(n) = n! modulo n*(n+1)*(n+2)/3.at n=44A175624
- Number of n-digit primes of the form (k-1)^2 + k^2.at n=10A218207
- Coefficient array for the third power of the monic integer Chebyshev polynomials 2*T(2*n,x/2) as a function of x^2.at n=46A219236
- Number of tilings of a 5 X n rectangle using n pentominoes of shapes T, I, P.at n=10A247196
- Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2 or 3.at n=37A257065
- Numbers k such that every prime dividing k also divides A114707(k-1).at n=50A374082
- Expansion of (1/x) * Series_Reversion( x / ((1+x)^2 * (1+x^3*(1+x))) ).at n=8A387734