Properties of the Number 9982

Nine Thousand Nine Hundred Eighty-Two

Basics

Value: 9981 → 9982 → 9983

Parity: even

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 23 × 31

Divisors: 1, 2, 7, 14, 23, 31, 46, 62, 161, 217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011111110

Octal: 23376

Duodecimal: 593A

Hexadecimal: 26fe

Square: 99640324

Square Root: 99.90995946350894

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

Otto Haxel's guess for magic numbers of nuclear shells. A33547

T(n,k)is the number of lower triangles of an n X n 0..k array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by one or less. A195232

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186472

T(n,k)=Number of 0..k arrays of length n with each element differing from at least one neighbor by 2 or more. A221524

Number of integer partitions that are the first sums of some integer partition of n > 0. A390429

Numbers whose base-6 representation is the juxtaposition of two identical strings. A20334

a(n) = number of m such that A080737(m) <= 2n. A80740

G.f. A(x) satisfies A097182(x·A(x)) = A(x) and so equals the ratio of the g.f.s of any two adjacent diagonals of triangle A097181. A97184

7 times pentagonal numbers: a(n) = 7·n*(3·n-1)/2. A152744

a(n) = 997·n + 1009. A100776