17572
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32256
- Proper Divisor Sum (Aliquot Sum)
- 14684
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8360
- Möbius Function
- 0
- Radical
- 8786
- Omega Function (Ω)
- 4
- 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
- 141
- 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
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = natural numbers, t = odd natural numbers.at n=45A024862
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=24A030653
- Sums of antidiagonals of A107267.at n=9A107268
- Number of 8-almost primes less than or equal to 10^n.at n=6A120049
- Number of idempotent 4X4 0..n matrices of rank 3.at n=11A224335
- Expansion of psi(x)^2 / phi(-x^3) in powers of x where phi(), psi() are Ramanujan theta functions.at n=51A257640
- Number of immersions of unoriented circle into oriented sphere with 2n double points such that two different choices of orientation of the circle are related by geotopy.at n=6A268563
- Positive integers n such that n=p+q for some primes p,q with pi(p)*pi(q) = sigma(n).at n=24A273286
- a(n) = ((n + 1) - 9*(n + 1)^2 + 8*(n + 1)^3)/6.at n=23A331987