Properties of the Number 19214

Nineteen Thousand Two Hundred Fourteen

Basics

Value: 19213 → 19214 → 19215

Parity: even

Prime: No

Previous Prime: 19213

Next Prime: 19219

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 739

Divisors: 1, 2, 13, 26, 739, 1478, 9607, 19214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100101100001110

Octal: 45416

Duodecimal: B152

Hexadecimal: 4b0e

Square: 369177796

Square Root: 138.6145735483827

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

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 3 1s. A295352

Smallest b > 1 such that b^p-1 == 1 (mod p⁴) for p = prime(n). A353937

Sum of the smallest parts in the partitions of n into 7 parts. A308927

Sum of the odd parts in all partitions of n into distinct parts. A116682

Number of partitions of n in which any two parts differ by at most 7. A218509

Numbers k whose binary expansion contains 2 adjacent 1's and A391571(k) = k. A391581

Denominators of continued fraction convergents to sqrt(601). A42153

Expansion of (5 - 9·x + 6·x²)/(1-x)⁴. A80957

a(n) = A324542(A002110(n)). A324536

a(n) = ∑_k=0..n-2 T(n,k) * T(n,k+2), with T given by A008288. A26935