17319
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 6873
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11000
- Möbius Function
- -1
- Radical
- 17319
- 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
- 53
- 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
- no
- Odd
- yes
Appears in sequences
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=41A049355
- Thickened pyramidal numbers: a(n) = 2*(n+1)*n + Sum_{i=1..n} (4*i*(i-1) + 1).at n=23A050533
- Indices of products of twin primes in the semiprimes.at n=17A131188
- Numbers of the form 7^j + 8^k, for j and k >= 0.at n=28A226825
- Subdiagonal partitions: number of partitions (p1, p2, p3, ...) of n with pi <= i.at n=40A238875
- Least number k >= 0 such that (n!-k)/n is prime.at n=66A245696
- Numbers k such that k![14]-2 is prime, where k![14] is the fourteen-fold multifactorial.at n=57A284190
- Numbers k such that k^3 +- 2 and k +- 2 are prime.at n=9A329727
- a(n) = (a(n-1)*a(n-7) + a(n-2)*a(n-6) - a(n-3)*a(n-5) + a(n-4)^2) / a(n-8), a(0) = ... = a(7) = 1.at n=20A330383
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384680.at n=42A384681
- The smallest k >= 0 that can be represented as a linear combination of 1^2, 2^2, ..., n^2 with coefficients +-1 and that cannot be represented using 1^2, 2^2, ..., m^2 with 1<=m<n.at n=37A392127