Properties of the Number 27511

Twenty-Seven Thousand Five Hundred Eleven

Basics

Value: 27510 → 27511 → 27512

Parity: odd

Prime: No

Previous Prime: 27509

Next Prime: 27527

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 41 × 61

Divisors: 1, 11, 41, 61, 451, 671, 2501, 27511

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101101110111

Octal: 65567

Duodecimal: 13B07

Hexadecimal: 6b77

Square: 756855121

Square Root: 165.86440244971192

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

Odd composite integers m such that A001906(m-J(m,5)) == 0 (mod m) and gcd(m,5)=1, where J(m,5) is the Jacobi symbol. A340097

Numbers k such that 2^2k-1 == 2 (mod 2k) and such that 2^k-1 ≠ 1 (mod k). A176033

Odd numbers k such that A064989(k) is in A340151. A340091

Numbers k such that the sum of the Carmichael λ functions of the divisors is a proper divisor of k. A131492

Strong pseudoprimes to base 42. A20268

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 33 ones. A31801

Number of (n+2) X 6 0..1 matrices with each 3 X 3 subblock idempotent. A224555

From the game of Quod: number of "squares" on an n X n array of points with the four corner points deleted. A124479

Expansion of e.g.f. A(x,y) satisfying A(x,y) = ∑_n>=0 (A(x,y)ⁿ + y)ⁿ * xⁿ/n!, as a triangle read by rows. A361540

Related to self-avoiding walks on square lattice. A6815