Properties of the Number 27457

Twenty-Seven Thousand Four Hundred Fifty-Seven

Basics

Value: 27456 → 27457 → 27458

Parity: odd

Prime: Yes

Previous Prime: 27449

Next Prime: 27479

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 27457

Divisors: 1, 27457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 110101101000001

Octal: 65501

Duodecimal: 13A81

Hexadecimal: 6b41

Square: 753886849

Square Root: 165.7015389186232

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

Dispersion of the primes (an array read by downward antidiagonals). A114537

Primes prime(k) for which A049076(k) = 5. A49081

Primes for which A049076 >= 4. A49090

Primes for which A049076(p) >= 5. A49203

Self-inverse permutation of natural numbers: a(1)=1, then a(p_n)=c_a(n), a(c_n)=p_a(n), where p_n = n-th prime, c_n = n-th composite. A236854

Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 9. A57453

Array T(n,k) read along descending antidiagonals: row n contains the primes with n steps in the prime index chain. A236542

a(n) = (1/2)*(n³ - 6·n² + 13·n - 6). A158498

Primes equal to an octagonal number plus 1. A285792

Group the natural numbers such that the n-th group contains n terms and the group sum is the smallest possible prime: (2), (1, 4), (3, 5, 9), (6, 7, 8, 10), (11, 12, 13, 14, 17), (15, 16, 18, 19, 20, 21), ... Sequence gives group sums. A75345