Properties of the Number 17968

Seventeen Thousand Nine Hundred Sixty-Eight

Basics

Value: 17967 → 17968 → 17969

Parity: even

Prime: No

Previous Prime: 17959

Next Prime: 17971

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 1123

Divisors: 1, 2, 4, 8, 16, 1123, 2246, 4492, 8984, 17968

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000110000

Octal: 43060

Duodecimal: A494

Hexadecimal: 4630

Square: 322849024

Square Root: 134.0447686409283

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 integer partitions of n whose product of parts is not n. A379736

Number of partitions of n minus number of divisors of n. A144300

a(n) = floor((n³)/2). A36487

Sum over all partitions of n of the number of distinct parts i of multiplicity i+1. A276434

Number of line segments connecting exactly 3 points in an n X n grid of points. A177719

Position where 10ⁿ-1 occurs in the Kaprekar sequence A006886. A193992

T(n,k)=Number of nXk 0..2 arrays with no adjacent rows or columns having the same least squares slope fit to a straight line, with a single point array taken as having zero slope. A223074

a(n) = 4·n³ - 6·n² + 3·n - 1. A268201

Pseudoprimes to base 33. A20161

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two or four distinct values for every i,j,k<=n. A211721