Properties of the Number 19259

Nineteen Thousand Two Hundred Fifty-Nine

Basics

Value: 19258 → 19259 → 19260

Parity: odd

Prime: Yes

Previous Prime: 19249

Next Prime: 19267

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 19259

Divisors: 1, 19259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100111011

Octal: 45473

Duodecimal: B18B

Hexadecimal: 4b3b

Square: 370909081

Square Root: 138.77679921370142

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

Constant term in the reduction of the n-th Fibonacci polynomial by x³->x²+x+1. See Comments. A192616

Number of partitions of n containing m(3) as a part, where m denotes multiplicity. A240488

Solution (a(n)) of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1) + b(n); see Comments. A305330

Expansion of e.g.f. -exp(x·sqrt(1-4·x)). A362158

Lesser of two consecutive primes such that p + n·q is a perfect square, p < q. A64543

Numbers k such that (17·10^k-1 - 71)/9 is a plateau prime. A82702

Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n. A89779

Number of binary strings of length n with no substrings equal to 0001 0101 or 1000. A164471

Second prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238674

Primes p such that p⁷ + 2 is also prime. A261537