Properties of the Number 18936

Eighteen Thousand Nine Hundred Thirty-Six

Basics

Value: 18935 → 18936 → 18937

Parity: even

Prime: No

Previous Prime: 18919

Next Prime: 18947

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 263

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100111111000

Octal: 44770

Duodecimal: AB60

Hexadecimal: 49f8

Square: 358572096

Square Root: 137.6081392941566

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

Number of positive subset sums of integer partitions of n. A276024

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p. A282043

a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4). A282036

Expansion of e.g.f. exp(x²/2 * (exp(x) - 1)). A354000

Triangle T(n,k) giving number of fixed 5 X k polyominoes with n cells (n >= 5, 1<=k<=n-4). A59681

a(n) = 1458·n - 18. A157508

The PDO_t(n) function (Number of tagged parts over all the partitions of n with designated summands in which all parts are odd). A293422

Number of partitions of n² into at most 9 square parts. A255213

Indices of the start of 10 successive distinct digits in the decimal expansion of e (2.718281828...). A258166

Half the number of nX6 binary arrays with no element unequal to a strict majority of its king-move neighbors. A183390