Properties of the Number 82728

Eighty-Two Thousand Seven Hundred Twenty-Eight

Basics

Value: 82727 → 82728 → 82729

Parity: even

Prime: No

Previous Prime: 82727

Next Prime: 82729

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 2 ³ × 3 ³ × 383

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001100101000

Octal: 241450

Duodecimal: 3BA60

Hexadecimal: 14328

Square: 6843921984

Square Root: 287.6247555409652

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

Palindromes with exactly 7 prime factors (counted with multiplicity). A46333

Number of 1-sided strip polycairos with n cells. A151535

Smallest palindrome with exactly n palindromic prime factors (counted with multiplicity), and no other prime factors. A46385

Zeroless factorials (version 2): a(0) = 1, and for any n > 0, a(n) = noz(1·noz(2 * ... * noz((n-1) * n))), where noz(n) = A004719(n) omits the zeros from n. A321475

Palindromes with exactly 7 palindromic prime factors (counted with multiplicity). A46381

Smallest palindromic multiple of n in which the digit string of n appears as sandwiched between at least a pair of digits, or 0 if n = 10k or no such number exists. A84043

Palindromes sandwiched between twin primes. A113838

Expansion of (1+x-x³) / (1-4·x-x⁴-x⁵). A275907

Least base-10 palindrome whose factorization includes an arbitrary number m of prime factors, with n <= m of them, all counted with multiplicity, being base-10 palindromes. A309565

Numbers expressible as a sum of 2 nonzero Fibonacci numbers in exactly 1 way. A82728