Properties of the Number 69042

Sixty-Nine Thousand Forty-Two

Basics

Value: 69041 → 69042 → 69043

Parity: even

Prime: No

Previous Prime: 69031

Next Prime: 69061

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 37 × 311

Divisors: 1, 2, 3, 6, 37, 74, 111, 222, 311, 622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110110110010

Octal: 206662

Duodecimal: 33B56

Hexadecimal: 10db2

Square: 4766797764

Square Root: 262.75844420303605

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 T(n,k) of colored integer partitions of n using all colors of a k-set such that each block of part i with multiplicity j has a pattern of i·j distinct colors in increasing order; triangle T(n,k), n>=0, A185283(n)<=k<=n, read by rows. A326616

Number T(n,k) of colored integer partitions of n using all colors of a k-set such that each block of part i with multiplicity j has a pattern of i·j distinct colors in increasing order; triangle T(n,k), k>=0, k<=n<=A024916(k), read by columns. A326617

Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted. A166537

Numbers k such that A000364(k) == 1 (mod k²). A69042