Properties of the Number 19859

Nineteen Thousand Eight Hundred Fifty-Nine

Basics

Value: 19858 → 19859 → 19860

Parity: odd

Prime: No

Previous Prime: 19853

Next Prime: 19861

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 7 × 2837

Divisors: 1, 7, 2837, 19859

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110110010011

Octal: 46623

Duodecimal: B5AB

Hexadecimal: 4d93

Square: 394379881

Square Root: 140.92196422133776

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) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

Values of n such that L(12) and N(12) 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. A227515

Positions of records in A166133. A256404

Numbers k such that 4^k + 7 is prime. A217349

Numbers n such that A166133(n) sets a new record and also satisfies A166133(n)=A166133(n-1)²-1. A256422

Number of compositions of n where the gcd of the parts equals the median of the parts. A388070

Integers n such that n+2!, n+2!+3!, n+2!+3!+4!, n+2!+3!+4!+5!, n+2!+3!+4!+5!+6!, and n+2!+3!+4!+5!+6!+7! are all prime. A267123

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 8 (most significant digit on right). A61961

Odd nonprimes n such that n+d+1 is prime for all divisors d of n. A187554

Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n² filled successively along rows. A72333