Properties of the Number 10982

Ten Thousand Nine Hundred Eighty-Two

Basics

Value: 10981 → 10982 → 10983

Parity: even

Prime: No

Previous Prime: 10979

Next Prime: 10987

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 17 ² × 19

Divisors: 1, 2, 17, 19, 34, 38, 289, 323, 578, 646

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011100110

Octal: 25346

Duodecimal: 6432

Hexadecimal: 2ae6

Square: 120604324

Square Root: 104.7950380504726

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: number of permutations of 1..n by length of longest run. A10026

Triangle read by rows: number of permutations of 1..n by length l of longest run (n >= 1, 1 <= l <= n). A211318

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A301999

Number of permutations of order n with the length of longest run equal to 4. A1252

Number of meaningful differential operations of the n-th order on the space R⁹. A90994

Sum over all partitions of n into distinct parts of the bitwise OR of the parts. A306924

Nonsquarefree numbers k that are not divisible by p^p for any prime p, and for which A276085(k) is a multiple of A003557(k), where A276085 is the primorial base log-function. A391866

Intersection of A391845 and A391866. A392592

G.f. satisfies: A(x) = ∑_n>=0 xⁿ*A(x)^binomial(n+5,6). A191812

Number of parts in all partitions of n in which no part occurs more than nine times. A320612