Properties of the Number 10684

Ten Thousand Six Hundred Eighty-Four

Basics

Value: 10683 → 10684 → 10685

Parity: even

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 2671

Divisors: 1, 2, 4, 2671, 5342, 10684

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100110111100

Octal: 24674

Duodecimal: 6224

Hexadecimal: 29bc

Square: 114147856

Square Root: 103.3634364753804

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) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257426

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically. A254242

Expansion of (5-4·x-12·x²+6·x³+3·x⁴)/(1-x-4·x²+3·x³+3·x⁴-x⁵). A189234

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,0,1,1,1 for x=0,1,2,3,4. A197431

The least number s > 1 having exactly n fives in the periodic part of the continued fraction of sqrt(s). A206585

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n; then a(n) is the trace of M(n)^-7. A114359

Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum. A119897

Number of lines through exactly 3 points of an n X n grid of points. A18810

An accelerator sequence for Catalan's constant. A94650

Augmentation of the Catalan triangle, A009766. See Comments. A193560