Properties of the Number 45827

Forty-Five Thousand Eight Hundred Twenty-Seven

Basics

Value: 45826 → 45827 → 45828

Parity: odd

Prime: Yes

Previous Prime: 45823

Next Prime: 45833

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 45827

Divisors: 1, 45827

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001100000011

Octal: 131403

Duodecimal: 2262B

Hexadecimal: b303

Square: 2100113929

Square Root: 214.07241765346603

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

a(n) = (4·n³ - 6·n² + 8·n + 3)/3. A161712

Numbers that are the sum of seven fourth powers in nine or more ways. A345575

Primes p such that (p+2)^p-1 == 1 (mod p²). A355959

Numbers that are the sum of seven fourth powers in ten or more ways. A345576

Numbers that are the sum of seven fourth powers in exactly ten ways. A345832

Future of the smallest-perizeroin komet in Kimberling's expulsion array (A035486). A38807

Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored. A88787

Third term of weak prime sextet: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2). A54830

Near-Wieferich primes (primes p satisfying 2^p == 2 + A·p (mod p²)) with |A| <= 10. A385856

a(n) = denominator(∑_k=1..n (2^k-1 - 1)/k). A330719