Properties of the Number 66874

Sixty-Six Thousand Eight Hundred Seventy-Four

Basics

Value: 66873 → 66874 → 66875

Parity: even

Prime: No

Previous Prime: 66863

Next Prime: 66877

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 29 × 1153

Divisors: 1, 2, 29, 58, 1153, 2306, 33437, 66874

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010100111010

Octal: 202472

Duodecimal: 3284A

Hexadecimal: 1053a

Square: 4472131876

Square Root: 258.6000773395089

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) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235248

Numbers k such that 10·3^k + 1 is prime. A5539

Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235241

Number of (n+1) X (5+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235245

Number of 2 X 2 matrices with all elements in 0..n such that the sum of the elements is prime. A281550

The numbers n in s=n² + (n+1)² that satisfy the requirement for two consecutive squares c,d with c<d with d-c being the sum of two consecutive squares that c<s<d will give s-c and d-s both being squares. A192743

Number of partitions of n into unitary divisors of n. A66874