Properties of the Number 45021

Forty-Five Thousand Twenty-One

Basics

Value: 45020 → 45021 → 45022

Parity: odd

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 43 × 349

Divisors: 1, 3, 43, 129, 349, 1047, 15007, 45021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111111011101

Octal: 127735

Duodecimal: 22079

Hexadecimal: afdd

Square: 2026890441

Square Root: 212.18152605728898

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) = ∑_k=1..n gcd(k, n)³. A343497

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1 - j·x^j)^{j^k}. A294587

Numerators of continued fraction convergents to sqrt(719). A42384

Smallest k such that 38^k mod k = n. A178199

The numbers n in s=n² + (n+1)² that satisfy the requirement for two consecutive squares c,d with c<d with d-c being the sum of two consecutive squares that c<s<d will give s-c and d-s both being squares. A192743

Numbers whose base-4 representation contains exactly one 0 and three 1's. A45021