Properties of the Number 27414

Twenty-Seven Thousand Four Hundred Fourteen

Basics

Value: 27413 → 27414 → 27415

Parity: even

Prime: No

Previous Prime: 27409

Next Prime: 27427

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1523

Divisors: 1, 2, 3, 6, 9, 18, 1523, 3046, 4569, 9138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100010110

Octal: 65426

Duodecimal: 13A46

Hexadecimal: 6b16

Square: 751527396

Square Root: 165.57173671855955

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 (n+1) X (k+1) 0..2 arrays with each row nonprime and column prime, read as a base 3 number with top and left being the most significant digits. A262109

Number of colored integer partitions of n such that nine colors are used and parts differ by size or by color. A327387

Total number of parts that are neither the smallest part nor the largest part in all partitions of n. A182977

a(n) = floor( Bernoulli(2·n)/(-4·n) ). A3414

Index where n first appears in A381597. A381599

Nearest integer to Bernoulli(2n)/(-4n). A3326

Number of (2+1)X(n+1) 0..2 arrays with each row nonprime and column prime, read as a base 3 number with top and left being the most significant digits. A262111

G.f. for Moebius transform is x * (1 + x) / (1 + x⁴). A27414