17066
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31104
- Proper Divisor Sum (Aliquot Sum)
- 14038
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6864
- Möbius Function
- 1
- Radical
- 17066
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Number of partitions into non-integral powers.at n=23A000158
- Triangle of a(n,k) = number of k-member minimal covers of an n-set (n >= k >= 1).at n=25A035348
- Number of minimal covers on n objects with 5 members.at n=6A046166
- a(n)^3 is smallest cube containing exactly n 4's.at n=6A048369
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=36A060814
- Limit of A069258(k,n) = number of partitions of 2*k into k-n prime parts, as k tends to infinity.at n=42A069259
- Sum of terms in n-th rows of triangle in A077159.at n=31A077162
- Row sums of A081964.at n=31A081966
- Expansion of q^(-3/4) * eta(q)^2 * eta(q^2)^4 * eta(q^8)^4 / eta(q^4)^6 in powers of q.at n=39A135467
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0110-1111-0110 pattern in any orientation.at n=18A146921
- Maximal length of rook tour on an n X n+3 board.at n=27A152134
- Maximum number of rational points on a smooth absolutely irreducible projective curve of genus 1 over the field F_7^n.at n=4A169883
- Number of n X 3 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically.at n=10A207118
- Number of emirps of length ceiling(n/4)+1 and leading digit 1, 3, 7 or 9 (in sequence).at n=22A220349
- Expansion of f(-x^3)^3 / (f(-x^2) * f(-x^4)^2) in powers of x where f() is a Ramanujan theta function.at n=44A262150
- Partial sums of A071619.at n=42A358042
- Numbers k such that A360119(k) > 1, but which have no divisors d > 1 such that d+1 is also a divisor.at n=42A360129