Properties of the Number 67284

Sixty-Seven Thousand Two Hundred Eighty-Four

Basics

Value: 67283 → 67284 → 67285

Parity: even

Prime: No

Previous Prime: 67273

Next Prime: 67289

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 7 × 89

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011011010100

Octal: 203324

Duodecimal: 32B30

Hexadecimal: 106d4

Square: 4527136656

Square Root: 259.39159585460743

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

Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n. A8275

Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n. A48994

Triangle of unsigned Stirling numbers of the first kind (see A048994), read by rows, T(n,k) for 0 <= k <= n. A132393

Triangle T(n,k), 0 <= k <= n, read by rows, giving coefficients of the polynomial (x+1)(x+2)...(x+n), expanded in increasing powers of x. T(n,k) is also the unsigned Stirling number |s(n+1, k+1)|, denoting the number of permutations on n+1 elements that contain exactly k+1 cycles. A130534

Triangle read by rows: T(n,k) = |s(n,n+1-k)|, where s(n,k) are the signed Stirling numbers of the first kind A008276 (1 <= k <= n; in other words, the unsigned Stirling numbers of the first kind in reverse order). A94638

Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x. A8276

Unsigned Stirling numbers of first kind s(n,4). A454

Alfred Moessner's factorial triangle. A125714

Stirling numbers of first kind, s(n+5, n). A53567

Triangle T(n,k) read by rows giving number of fixed 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3). A59680