Properties of the Number 54582

Fifty-Four Thousand Five Hundred Eighty-Two

Basics

Value: 54581 → 54582 → 54583

Parity: even

Prime: No

Previous Prime: 54581

Next Prime: 54583

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 11 × 827

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 827, 1654

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101010100110110

Octal: 152466

Duodecimal: 27706

Hexadecimal: d536

Square: 2979194724

Square Root: 233.62790929167687

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

G.f. satisfies A(x) = x + A(x)²*(1 + A(x))². A214372

Numbers that are the sum of ten fifth powers in three or more ways. A345635

Numbers that are the sum of ten fifth powers in exactly three ways. A346348

Conjectured greatest number that converges to prime(n) under the iteration x -> φ(x) + 1, where φ is Euler's totient function. A229487

a(n) = (5·2ⁿ⁺¹-9-(-1)ⁿ)/6-2·n. A171507

Number of length-n 0..2 arrays with no repeated value equal to the previous repeated value. A269461

Square root of A030693. A30694

Indices of primes in sequence defined by A(0) = 89, A(n) = 10·A(n-1) - 61 for n > 0. A101064

Smallest number k such that k² begins with n³. A197722

Number of partitions p of n such that (number of numbers in p that have multiplicity 1) <= (number of numbers in p having multiplicity > 1). A330146