17500
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 43736
- Proper Divisor Sum (Aliquot Sum)
- 26236
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6000
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 7
- 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
- 79
- 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
- Cubes written in base 8.at n=19A004638
- a(n) = (1/12)*(n+5)*(n+1)*n^2.at n=20A014205
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=42A015623
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-1)/2.at n=21A047175
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-2)/2.at n=21A047186
- Generalized Stirling number triangle of first kind.at n=25A048176
- Triangle of generalized Stirling numbers.at n=12A061692
- Generalized Bell numbers.at n=4A061694
- Numbers k such that sopf(k) = d(k) where d(k) = A001223(k) and sopf(k) = A008472(k).at n=31A064010
- a(n) = 28*n^2.at n=25A064763
- Integer averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=29A075454
- Derangement numbers d(n,5) where d(n,k) = k(n-1)(d(n-1,k) + d(n-2,k)), with d(0,k) = 1 and d(1,k) = 0.at n=5A088992
- Expansion of g.f. (1 + 7*x)/(1 - 50*x^2).at n=5A096882
- Positive numbers of the form x^4 - 6 * x^2 * y^2 + y^4 (where x,y are integers).at n=37A135789
- Triangle T(n, k) = coefficients of p(n, x), where p(n, x) = (-1)^n*(1+x)*((n+1)^2 +x)^(n-1), p(0, x) = 1, and p(1, x) = -1-x, read by rows.at n=11A158286
- Totally multiplicative sequence with a(p) = 5*(p+2) for prime p.at n=29A167306
- 15-gonal (or pentadecagonal) pyramidal numbers: a(n) = n*(n+1)*(13*n-10)/6.at n=20A177890
- Integers for which the decimal expansion of the reciprocal contains the repeating digits 1,4,2,8,5,7 (corresponding to the decimal expansion of 1/7).at n=35A178335
- Triangle read by rows: T(n,k) is the number of 3-noncrossing RNA structures on n vertices having k isolated vertices.at n=82A187253
- Numbers j such that Sum_{i=1..k} d(i)^i = j+1 for some k where d(i) is the sorted list of divisors of j.at n=33A194269