17150
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 37200
- Proper Divisor Sum (Aliquot Sum)
- 20050
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5880
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- "DFJ" (bracelet, size, labeled) transform of 2,2,2,2...at n=9A032209
- "EFJ" (unordered, size, labeled) transform of 2,2,2,2,...at n=9A032297
- Sums of distinct powers of 7.at n=40A033044
- Positive numbers having the same set of digits in base 2 and base 7.at n=34A037412
- Sums of 2 distinct powers of 7.at n=13A038481
- Numbers whose base-7 representation contains exactly four 0's.at n=24A043396
- Sums of two powers of 7.at n=18A055258
- Numbers n such that n | 7^n + 6^n + 5^n + 4^n + 3^n + 2^n + 1^n.at n=43A056750
- Difference between larger and smaller terms of n-th amicable pair.at n=27A066539
- Number of elements of GF(7^n) with trace 0 and subtrace 1.at n=6A074015
- a(n) = n*(n+7)*(n+8)/6.at n=42A111396
- a(n) = 14*n^2.at n=35A144555
- a(n) = n^5 + n^3.at n=7A155977
- a(n) = (2*n^3 + 5*n^2 - 3*n)/2.at n=24A162256
- Difference A063990(2n)-A063990(2n-1) between amicable numbers.at n=27A178542
- Expansion of (1 + 14*x)/(1 - 35*x^2).at n=5A182753
- a(n) = floor(1/{(10+n^4)^(1/4)}), where {}=fractional part.at n=34A184634
- Triangle T(n,k) represents the coefficients of (x^10*d/dx)^n, where n=1,2,3,...;generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.at n=25A223512
- Number of 3-generalized 2-Motzkin paths of length n with no level steps H=(3,0) at even level.at n=18A257517
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood.at n=37A269755