Properties of the Number 45523

Forty-Five Thousand Five Hundred Twenty-Three

Basics

Value: 45522 → 45523 → 45524

Parity: odd

Prime: Yes

Previous Prime: 45503

Next Prime: 45533

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 45523

Divisors: 1, 45523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000111010011

Octal: 130723

Duodecimal: 22417

Hexadecimal: b1d3

Square: 2072343529

Square Root: 213.36119609713478

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

T(n,k)=Number of zero-sum -k..k arrays of n elements with adjacent element differences also in -k..k. A202252

Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776. A80050

Primes p such that none of p-2, p-1, p+1, and p+2 is squarefree. A153215

Number of partitions of n into colored blocks of equal parts, such that all colors from a set of size five are used and the colors are introduced in increasing order. A327288

Number of 12X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 12 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192713

Number of zero-sum -4..4 arrays of n elements with adjacent element differences also in -4..4. A202248

Number of zero-sum -n..n arrays of 7 elements with adjacent element differences also in -n..n. A202257

Prime numbers p such that p - primepi(p) is a square, where primepi is the prime counting function. A245061

a(n) = 8·n³ - 449·n² + 7967·n - 45523. A253045

Primes of the form 10n² - 90n + 163. A256376