Properties of the Number 19317

Nineteen Thousand Three Hundred Seventeen

Basics

Value: 19316 → 19317 → 19318

Parity: odd

Prime: No

Previous Prime: 19309

Next Prime: 19319

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 47 × 137

Divisors: 1, 3, 47, 137, 141, 411, 6439, 19317

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101101110101

Octal: 45565

Duodecimal: B219

Hexadecimal: 4b75

Square: 373146489

Square Root: 138.985610766007

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) = prime(n)²-4. A166010

Expansion of e.g.f. (1/x) * Series_Reversion( x·exp(-3·x*exp(x)) ). A380880

Third trisection of A061037. A142600

Trisection A061037(3·n-2) of the Balmer spectrum numerators extended to negative indices. A174325

Records in A096335 (positions). A221182

Numbers k such that prime(k), prime(k+1), prime(k+2), prime(k+3) and prime(k+4) all have the same last digit. A371390

McKay-Thompson series of class 20E for Monster. A58554

Number of (n+1) X 6 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors. A186458

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186462

Lexicographically earliest sequence of integers with property that if a vertical line is drawn between any pair of adjacent digits, the number Z formed by the digits to the left of the line is divisible by the digit to the right of the line. A244471