Properties of the Number 27559

Twenty-Seven Thousand Five Hundred Fifty-Nine

Basics

Value: 27558 → 27559 → 27560

Parity: odd

Prime: No

Previous Prime: 27551

Next Prime: 27581

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 31 × 127

Divisors: 1, 7, 31, 127, 217, 889, 3937, 27559

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110100111

Octal: 65647

Duodecimal: 13B47

Hexadecimal: 6ba7

Square: 759498481

Square Root: 166.00903589865223

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 that are a product of distinct Mersenne primes (elements of A000668). A46528

Sum of divisors of n, σ(n) (A000203), is a power of number of divisors of n, d(n) (A000005). A51281

Numbers whose sum of divisors is a fifth power. A19423

(L)-sieve transform of A004767 = {3,7,11,15,...,4n-1,...}. A155167

Zeisel numbers. A51015

a(1) = 1; for n > 1, a(n) is the largest number m such that σ(m) = τ(m)ⁿ or 0 if no such m exists. A349007

Irregular table read by rows; the n-th row contains in ascending order the integers m > 1 such that σ(m) = τ(m)ⁿ; the first row contains 1. A349838

Numbers n such that σ(n) is a power of prime (of the form p^a, p prime, a>=1). A70763

Composite numbers k such that sum of proper divisors of k divides 2^k-1. A278315

a(n) is the largest number k such that σ(k) = 2ⁿ or 0 if no such k exists. A295043