Properties of the Number 65293

Sixty-Five Thousand Two Hundred Ninety-Three

Basics

Value: 65292 → 65293 → 65294

Parity: odd

Prime: Yes

Previous Prime: 65287

Next Prime: 65309

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 65293

Divisors: 1, 65293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111100001101

Octal: 177415

Duodecimal: 31951

Hexadecimal: ff0d

Square: 4263175849

Square Root: 255.5249498581303

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

Primes p such that π(p) is obtained by dropping one of the digits of p in decimal expansion. A114924

Primes of the form 2^j - 3^k, for j >= 0, k >= 0. A321671

Monotonic ordering of nonnegative differences 4ⁱ-3^j, for 40>=i>=0, j>=0. A192148

Number of partitions of n into colored blocks of equal parts, such that all colors from a set of size eight are used and the colors are introduced in increasing order. A327291

Primes associated with the indices in A362060. A362066

a(n) = 2ⁿ - 243. A220089

a(n) = ( (-1)^n-1 * ∑_k=0..n-1 (-1)^k*10^{2^k} - (1-(-1)ⁿ)/2 )/9. A325910

Number of values of s, 0 <= s <= n-1, such that 2^s mod n = s. A65293