Properties of the Number 9985

Nine Thousand Nine Hundred Eighty-Five

Basics

Value: 9984 → 9985 → 9986

Parity: odd

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 × 1997

Divisors: 1, 5, 1997, 9985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100000001

Octal: 23401

Duodecimal: 5941

Hexadecimal: 2701

Square: 99700225

Square Root: 99.92497185388645

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

Partial sums of A008137. A299276

a(n) = 10ⁿ - 2ⁿ + 1ⁿ. A155601

Values of n such that L(10) and N(10) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227448

Number A(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A262124

Numbers k such that k, k+2, k+4, k+6, k+8, k+10, k+12 are semiprimes. A92129

Numbers k such that k, k+2, k+4, k+6, k+8, k+10 are semiprimes. A92128

Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes. A92127

Figurate numbers based on the 600-cell (4-D polytope with Schlaefli symbol {3,3,5}). A92182

T(n,k)=Number of (n+2)X(k+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 1, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero. A253424

a(n) = 384·n + 1. A229853