Properties of the Number 10683

Ten Thousand Six Hundred Eighty-Three

Basics

Value: 10682 → 10683 → 10684

Parity: odd

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1187

Divisors: 1, 3, 9, 1187, 3561, 10683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110111011

Octal: 24673

Duodecimal: 6223

Hexadecimal: 29bb

Square: 114126489

Square Root: 103.35859906171329

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

Crystal ball sequence for hexagonal close-packing. A7202

a(n) = (4·n³ - 12·n² + 14·n + 3)/3. A161703

Number of rooted trees where each node has at most 4 children. A36718

Number of distinct values taken by 4th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1. A199205

a(n) = (9·n² - 5·n + 2)/2. A140064

Numbers k such that k + the reversal of k is a square. A61230

Number of partitions of n into parts not of the form 15k, 15k+2 or 15k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 6 are greater than 1. A35956

Numbers k such that 3·R_k + 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A99411

Smaller of a pair of consecutive lucky numbers with a gap of 2n. A31884

Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| > w+x+y. A213486