Properties of the Number 27630

Twenty-Seven Thousand Six Hundred Thirty

Basics

Value: 27629 → 27630 → 27631

Parity: even

Prime: No

Previous Prime: 27617

Next Prime: 27631

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 307

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111101110

Octal: 65756

Duodecimal: 13BA6

Hexadecimal: 6bee

Square: 763416900

Square Root: 166.22274212634082

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·a(n-1) - 2·a(n-2) with a(0)=36 and a(1)=90. A182467

Consider the Diophantine equation x³ + y³ = z³ - 1 (x < y < z) or 'Fermat near misses'. The values of z (see A050787) are arranged in monotonically increasing order. Sequence gives values of y. A50789

Numbers n such that φ(n)=2·reversal(n). A114930

Number of 8X8 arrays of squares of integers, symmetric under 90 degree rotation, with all rows summing to n. A156397

E.g.f. A(x) satisfies [x^k] A(x)^n*(n+1/2+1) = 0 for k = n*(n-1)/2+2 through k = n*(n+1)/2+1 for n >= 1, with a(0) = a(1) = 1. A377105

Array of sequences read by descending antidiagonals, row A(n) is Stieltjes generated from the sequence n, n+1, n+2, n+3, .... A321964

Molien series for Gamma₃(2). A27630