Properties of the Number 42507

Forty-Two Thousand Five Hundred Seven

Basics

Value: 42506 → 42507 → 42508

Parity: odd

Prime: No

Previous Prime: 42499

Next Prime: 42509

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 4723

Divisors: 1, 3, 9, 4723, 14169, 42507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011000001011

Octal: 123013

Duodecimal: 20723

Hexadecimal: a60b

Square: 1806845049

Square Root: 206.17225807561985

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

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 111 in rows and columns. A202378

Number of (n+2)X3 binary arrays avoiding patterns 001 and 111 in rows and columns. A202371

Number of ways to write n as a*(a+1)/2 + b*(b+1)/2 + 5^c*8^d, where a,b,c,d are nonnegative integers with a <= b. A308584

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207785

Denominators of continued fraction convergents to sqrt(781). A42507