Properties of the Number 17996

Seventeen Thousand Nine Hundred Ninety-Six

Basics

Value: 17995 → 17996 → 17997

Parity: even

Prime: No

Previous Prime: 17989

Next Prime: 18013

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 409

Divisors: 1, 2, 4, 11, 22, 44, 409, 818, 1636, 4499

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011001001100

Octal: 43114

Duodecimal: A4B8

Hexadecimal: 464c

Square: 323856016

Square Root: 134.14917070187204

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of orderless tree-partitions of a multiset whose multiplicities are the prime indices of n. A318849

Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207106

Triangle of coefficients of polynomials u(n,x) jointly generated with A208752; see the Formula section. A208751

Positive integers whose square is the sum of 96 consecutive squares. A257827

Total area of the largest inscribed rectangles of all integer partitions of n. A182099

Numbers n of the form k + reverse(k) for exactly three k. A71914

a(n) = number of solutions to the Diophantine equation x+y²+z³=n⁴ with positive x,y,z all distinct. A121984

Fixed points of the permutation A087559. A131221

Antidiagonal sums of A147995 and A163545. A163484

Convolution of A015723 and A000700. A274352