17210
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 30996
- Proper Divisor Sum (Aliquot Sum)
- 13786
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6880
- Möbius Function
- -1
- Radical
- 17210
- 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
- 110
- 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
- yes
- Odd
- no
Appears in sequences
- Multiplicity of irreducible character IRR2 of Monster simple group in n-th head character.at n=32A055771
- Number of n-digit primes ending in 7 in base 10.at n=5A087632
- Number of preferential arrangements of n labeled elements where the exchange of elements among the levels is restricted to levels of different occupation numbers.at n=8A122404
- Binomial transform of A000594.at n=8A128334
- a(n) = 13*n^2 - 16*n + 5.at n=37A202141
- Expansion of (G(-x) / chi(-x))^2 in powers of x where chi() is a Ramanujan theta function and G() is a Rogers-Ramanujan function.at n=30A261866
- Sum of the next n nonnegative integers repeated (A004526).at n=40A319007
- Number of primary Carmichael numbers (A324316) less than 10^n.at n=16A324317
- a(1) = 1; a(n) = Sum_{k=1..n-1} ceiling(n/k) * a(k).at n=9A333494
- G.f. satisfies A(x) = ( 1 + x / (1 - x*A(x)^3) )^2.at n=7A371613