Properties of the Number 19585

Nineteen Thousand Five Hundred Eighty-Five

Basics

Value: 19584 → 19585 → 19586

Parity: odd

Prime: No

Previous Prime: 19583

Next Prime: 19597

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 3917

Divisors: 1, 5, 3917, 19585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110010000001

Octal: 46201

Duodecimal: B401

Hexadecimal: 4c81

Square: 383572225

Square Root: 139.94641831786907

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

a(n)*a(n-9) = a(n-1)*a(n-8)+a(n-4)+a(n-5) with initial terms a(1)=...=a(9)=1. A133847

a(n) = 34·n² + 1. A158586

Number of compositions of n with exactly one descent. A241626

Expansion of ∏_m>=1 (1 + m·q^m)². A22630

a(n) = 576·n + 1. A158370

Number of partitions of n containing at least one part m-10 if m is the largest part. A212550

a(n) = the number of ways in which n is equal to the sum of digits > 0 taken from numbers <= n. A245438

Numbers n such that the Collatz iterations for n and n + 1 have the same length (A078417) but do not meet a certain condition. (See comments.) A274410

a(n) is the smallest positive integer k with k ≠ 10^m (m: nonnegative integer) for which 1/n can be obtained by incorrectly reducing k/(n·k) - by deleting the same digit in the numerator and denominator as often as possible, leaving one digit "1" in the numerator. A370911

E.g.f. A(x) satisfies A(x) = 1/(exp(-x·A(x)³) - x·A(x)). A379912