Properties of the Number 27505

Twenty-Seven Thousand Five Hundred Five

Basics

Value: 27504 → 27505 → 27506

Parity: odd

Prime: No

Previous Prime: 27487

Next Prime: 27509

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 5501

Divisors: 1, 5, 5501, 27505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101101110001

Octal: 65561

Duodecimal: 13B01

Hexadecimal: 6b71

Square: 756525025

Square Root: 165.8463143998081

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) = A063997(n)/4. A88406

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A304347

Prime sieve of the square root of 2. A248831

Expansion of e.g.f. 1 / (7 - 6·exp(x))^5/6. A365557

The number of distinct positions on an infinite chessboard reachable by the (2,3)-leaper (or zebra) in at most n moves. A297740

Coefficient of x² in minimal polynomial of the continued fraction [1ⁿ,1/2,1,1,1,...], where 1ⁿ means n ones. A266699

Denominators of continued fraction convergents to sqrt(505). A41965

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A304344

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A304345

Number of positive integers <= 2ⁿ of form x² + 20 y². A54233