17514
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 43680
- Proper Divisor Sum (Aliquot Sum)
- 26166
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4968
- Möbius Function
- 0
- Radical
- 5838
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Convolution of A000203 with itself.at n=32A000385
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=34A014203
- Even heptagonal numbers (A000566).at n=42A014640
- Numbers k such that k^4 = x^3 + y^2 has an integer solution.at n=37A096741
- Heptagonal numbers for which the sum of the digits is also a heptagonal number.at n=22A117650
- Heptagonal numbers divisible by 7.at n=24A117795
- Number of different strings of length n+5 obtained from "123...n" by iteratively duplicating any substring.at n=12A137740
- a(n) = 1458*n + 18.at n=11A157505
- a(n) = n*(n+1)*(5*n + 4)/6.at n=27A162147
- Number of binary strings of length n with equal numbers of 0000 and 1001 substrings.at n=16A164153
- a(n) = n*(10*n-3).at n=42A195018
- a(n) = A005291(n) + A005291(n+1).at n=33A195308
- Number of distinct sums of subsets of the first n squares {1,4,9,...,n^2}.at n=36A208531
- Number of partitions of n+8 with largest inscribed rectangle having area <= n.at n=28A218629
- Number of strict partitions of 2n + 1 having 1 more even part than odd, so that there is at least one ordering of the parts in which the even and odd parts alternate, and the first and last terms are even.at n=41A239873
- Number of 6 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=14A281474
- Irregular table read by rows: Take a heptagon with all diagonals drawn, as in A329713. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.at n=22A329714
- a(n) is the least number k such that k - 5^i is prime for i = 1..n.at n=5A354456