Properties of the Number 67984

Sixty-Seven Thousand Nine Hundred Eighty-Four

Basics

Value: 67983 → 67984 → 67985

Parity: even

Prime: No

Previous Prime: 67979

Next Prime: 67987

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 7 × 607

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100110010000

Octal: 204620

Duodecimal: 33414

Hexadecimal: 10990

Square: 4621824256

Square Root: 260.7374158037162

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

a(n) = ∑_{k=0..floor(n/5)} C(n-4k,k+1). A99559

Positive integers k having no duplicated digit such that concatenating all successive absolute differences between two successive digits of k produces a divisor of k. A338641

Number of 3 X n 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224147

Numbers n such that numerator(σ(n)/n) = reverse(denominator(σ(n)/n)). A259398

Triangle read by rows: T(n, k) = ∑_j=0..n C(-j-1, -n-1)*L(j, k), L the unsigned Lah numbers A271703, for n >= 0 and 0 <= k <= n. A271706

Number of nonequivalent ways (mod D₃) to place 5 points on an n X n X n triangular grid so that no two of them are on the same row, column or diagonal. A283116

a(n) = [xⁿ] F(x)^-(n+1²) such that F(x) = F(x²) + x·F(x⁴), where F(x) = ∑_n>=0 x^A003714(n) and A003714 is the Fibbinary numbers. A294359

a(n) = (-1)ⁿ * A294359(n) / (n+1)². A294475

Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+6), n>=0. A67984