Properties of the Number 45001

Forty-Five Thousand One

Basics

Value: 45000 → 45001 → 45002

Parity: odd

Prime: No

Previous Prime: 44987

Next Prime: 45007

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 11 × 4091

Divisors: 1, 11, 4091, 45001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111111001001

Octal: 127711

Duodecimal: 22061

Hexadecimal: afc9

Square: 2025090001

Square Root: 212.1343913654738

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

Expansion of e.g.f. exp(x·G(x)³) where G(x) = 1 + x·G(x)³ is the g.f. of A001764. A380512

Sum of squares of first n quarter-squares (A002620). A59859

a(n) = 50·n² + 1. A157916

a(n) = 72·n² + 1. A158740

G.f. A(x,y) satisfies: A(x,y) = x + A( x² + x·y*A(x,y)², y). A271868

p² + (p+2)² - 1 where (p,p+2) is the n-th twin prime pair. A184417

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(B_k(x) - 1), where B_k(x) = 1 + x·B_k(x)^k. A382101

Numbers whose base-3 representation contains exactly two 0's and two 2's. A45001