Properties of the Number 45763

Forty-Five Thousand Seven Hundred Sixty-Three

Basics

Value: 45762 → 45763 → 45764

Parity: odd

Prime: Yes

Previous Prime: 45757

Next Prime: 45767

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 45763

Divisors: 1, 45763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001011000011

Octal: 131303

Duodecimal: 22597

Hexadecimal: b2c3

Square: 2094252169

Square Root: 213.92288330143646

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 prime(k) such that 2^k - prime(k) is also prime. A78686

Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x⁵ - x⁴ - x³ - x² - x - 1 modulus p is factorizable into five binomials. A135847

Primes formed by rearranging five consecutive decimal digits (avoiding leading 0). A156119

Primes whose digits can be arranged as consecutive digits (more precisely, to form a substring of 0123456789). A177119

a(n) = b(n) + b(n+1) + 2, where b() = A000930(). A170934

Lesser of 2 successive primes (k, k+4) sandwiching 3 consecutive nonsquarefree numbers. A366352

Number of numbers "unrelated to n": m < n such that m is neither a divisor of n nor relatively prime to n. A45763

Irregular triangle, wherein row n lists in ascending order all numbers k whose arithmetic derivative k' is equal to the n-th primorial, A002110(n), and that have more than two prime factors with multiplicity. Rows of length zero are simply omitted, i.e., when A369000(n) = 0. A366890

Consider the square spiral with its cells numbered starting at 0, as in A308884 and A274641. Two players, Black and Red, take turns. When it is Black's turn, he places a knight at the smallest unoccupied cell not attacked by an existing Red knight, and when it is Red's turn, she places a knight at the smallest unoccupied cell not attacked by an existing Black knight. Sequence lists squares occupied by a Black knight. A392177

Consider the square spiral with its cells numbered starting at 0, as in A308884 and A274641. Two players, Black and Red, take turns. When it is Black's turn, he places a knight at the smallest unoccupied cell not attacked by an existing Red knight, and when it is Red's turn, she places a knight at the smallest unoccupied cell not attacked by an existing Black knight. Sequence lists squares occupied by a Red knight. A392178