17518
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
- 8
- Divisor Sum
- 27720
- Proper Divisor Sum (Aliquot Sum)
- 10202
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8280
- Möbius Function
- -1
- Radical
- 17518
- 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
- 216
- 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
- Expansion of 1/((1-7x)(1-9x)(1-10x)(1-12x)).at n=3A028226
- Numbers whose base-4 representation has exactly 8 runs.at n=17A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=38A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=17A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=17A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=17A043875
- Numbers whose base-5 representation contains exactly three 0's and three 3's.at n=14A045202
- Numbers n such that more than half of the reduced-residue system modulo 210 consists of primes in the following sense: in {210n + R} more than 24 = phi(210)/2 primes occur, i.e., 25-33, 35, 46.at n=58A095392
- Number of primes p in the range 9 < p <= prime(10^n) that have most significant and least significant decimal digit both equal to 9.at n=5A145712
- Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,4,2,0,3 for x=0,1,2,3,4.at n=4A196637
- Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,4,2,0,3 for x=0,1,2,3,4.at n=4A196638
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,4,2,0,3 for x=0,1,2,3,4.at n=40A196641
- Number of nX3 0..2 arrays with exactly floor(nX3/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=4A222914
- Number of nX5 0..2 arrays with exactly floor(nX5/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=2A222916
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=23A222918
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=25A222918
- Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).at n=5A234557
- Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).at n=0A234562
- T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).at n=15A234564
- T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).at n=20A234564