Properties of the Number 10985

Ten Thousand Nine Hundred Eighty-Five

Basics

Value: 10984 → 10985 → 10986

Parity: odd

Prime: No

Previous Prime: 10979

Next Prime: 10987

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 13 ³

Divisors: 1, 5, 13, 65, 169, 845, 2197, 10985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011101001

Octal: 25351

Duodecimal: 6435

Hexadecimal: 2ae9

Square: 120670225

Square Root: 104.80935072788114

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

Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n. A63048

Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n² can be written as a sum of two squares in 10 ways. A97225

T(n,k)=Rolling icosahedron footprints: number of nXk 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an icosahedral edge. A223233

Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as 2*(i + j) - 1 and 2*(i + j) + 1 are twin primes or not. A228615

a(n) = 5·n³. A244725

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k. A88753

Numbers of the form (5ⁱ)*(13^j). A107466

Numbers whose square can be represented in exactly two ways as the sum of a positive square and a positive fourth power. A345700

Permutation of natural numbers: a(n) = A270436(A007305(n+1)) * A270437(A047679(n-1)). A273671

Sets of 4 consecutive numbers with equal number of divisors. A39665