Properties of the Number 45000

Forty-Five Thousand

Basics

Value: 44999 → 45000 → 45001

Parity: even

Prime: No

Previous Prime: 44987

Next Prime: 45007

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 ⁴

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1010111111001000

Octal: 127710

Duodecimal: 22060

Hexadecimal: afc8

Square: 2025000000

Square Root: 212.13203435596427

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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) = σ(n) * A003961(n), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341529

Numbers m such that the largest digit in the decimal expansion of 1/m is 2. A341383

Number of permutations of 9 indistinguishable copies of 1..n arranged in a circle with exactly 1 local maximum. A159740

Numbers k such that the number of divisors of k and sum of 4th powers of divisors of k are relatively prime. A46681

Achilles numbers whose squarefree kernel is a primorial. A377854

T(n,k) = Number of n X k 0..3 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope. A223824

Negative value of coefficient of x^n-3 in the characteristic polynomial of a certain n X n integer circulant matrix. A127408

Number of n-digit even numbers. A137233

Numbers with prime factorization p²*q³*r⁴ where p, q, and r are distinct primes. A190115

Number of labeled connected multigraphs with loops with n edges (the vertices are {1,2,...,k} for some k). A322152