Properties of the Number 27654

Twenty-Seven Thousand Six Hundred Fifty-Four

Basics

Value: 27653 → 27654 → 27655

Parity: even

Prime: No

Previous Prime: 27653

Next Prime: 27673

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 11 × 419

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 419, 838

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000000110

Octal: 66006

Duodecimal: 14006

Hexadecimal: 6c06

Square: 764743716

Square Root: 166.29491874377882

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)³ is smallest cube containing exactly n 2's. A48367

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases. A206072

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

G.f. satisfies A(x) = (1 + x) * (1 - x·A(x)³). A364372

Numbers n whose sum of divisors equals the sum of divisors of 2n+1. A272553

Number of sets of exactly n positive integers <= n+10 having a square element sum. A281973

Number of (n+1)X(n+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases. A206064

Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly three clockwise edge increases. A206067

Number of length n+2 0..5 arrays with every three consecutive terms having the sum of some two elements equal to twice the third. A248430

Numbers n such that usigma(n) = usigma(2·n+1) where usigma(n) = A034448(n). A286837