Properties of the Number 82769

Eighty-Two Thousand Seven Hundred Sixty-Nine

Basics

Value: 82768 → 82769 → 82770

Parity: odd

Prime: No

Previous Prime: 82763

Next Prime: 82781

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 37 × 2237

Divisors: 1, 37, 2237, 82769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100001101010001

Octal: 241521

Duodecimal: 3BA95

Hexadecimal: 14351

Square: 6850707361

Square Root: 287.69602013236124

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

Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and every four consecutive elements having its maximum within 4 of its minimum. A263712

Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280066

Number of ways to choose a multiset of values whose sum is n from the first floor(1+log₂(n)) rows of Pascal's triangle. A366120

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280069

a(n) = smallest palindromic prime that begins with A082768(n), or 0 if no such number exists. A82769