Properties of the Number 82267

Eighty-Two Thousand Two Hundred Sixty-Seven

Basics

Value: 82266 → 82267 → 82268

Parity: odd

Prime: Yes

Previous Prime: 82261

Next Prime: 82279

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 82267

Divisors: 1, 82267

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000101011011

Octal: 240533

Duodecimal: 3B737

Hexadecimal: 1415b

Square: 6767859289

Square Root: 286.8222446045634

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

Rank of 2ⁿ when all prime powers (A246655) pⁿ, for n>=1, are jointly ranked. A182908

Primes whose trajectories under the map x -> A039951(x) enter the cycle {83, 4871} (conjectured). A252812

Primes p such that the decimal expansion of p remains prime under two iterations of base-10 to base-2 conversions. A123266

Number of 0..n arrays x(0..4) of 5 elements with zero 4th difference. A200156

Number of arrays of 2n nondecreasing integers in -5..5 with sum zero and equal numbers greater than zero and less than zero. A203288

T(n,k)=Number of arrays of 2n nondecreasing integers in -k..k with sum zero and equal numbers greater than zero and less than zero. A203291

Number of palindromes that use nonzero digits and have a digit sum of n. A82267