Properties of the Number 27529

Twenty-Seven Thousand Five Hundred Twenty-Nine

Basics

Value: 27528 → 27529 → 27530

Parity: odd

Prime: Yes

Previous Prime: 27527

Next Prime: 27539

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 27529

Divisors: 1, 27529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110001001

Octal: 65611

Duodecimal: 13B21

Hexadecimal: 6b89

Square: 757845841

Square Root: 165.91865476793137

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

Numbers n such that (1+i)ⁿ - 1 times its conjugate is prime. A57429

Primes that become squares when prefixed with a 2. A167735

Numbers n such that 2ⁿ - 2^{(n + 1}/2) + 1 is prime. A7670

Primes followed by a [10,2,10] prime difference pattern of A001223. A52376

Number of Catalan knight paths from (0,0) to (n,3) in the region between and on the lines y=0 and y=3. (See A096587 for the definition of Catalan knight.). A99331

Prime numbers p for which the quintic polynomial x⁵ - x - 1 modulo p completely factors into linear polynomials. A135844

Prime numbers p not of the form 10·k+1 for which the quintic polynomial x⁵-x-1 modulus p is factorizable into five binomials. A135845

First of three consecutive primes p, q, r such that p + q - r, p² + q² - r² and p³ + q³ - r³ are all prime. A358744

Prime numbers congruent to 1 or 169 modulo 240 representable by both x² + 150·y² and x² + 960·y². A325087

Supersingular primes of the elliptic curve X₀ (11). A6962