Properties of the Number 1045

One Thousand Forty-Five

Basics

Value: 1044 → 1045 → 1046

Parity: odd

Prime: No

Previous Prime: 1039

Next Prime: 1049

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 11 × 19

Divisors: 1, 5, 11, 19, 55, 95, 209, 1045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010101

Octal: 2025

Duodecimal: 731

Hexadecimal: 415

Square: 1092025

Square Root: 32.32645975048923

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

Moser-de Bruijn sequence: sums of distinct powers of 4. A695

Octagonal numbers: n*(3·n-2). Also called star numbers. A567

Generalized octagonal numbers: k*(3·k-2), k=0, +- 1, +- 2, +-3, ... A1082

Balanced numbers: numbers k such that φ(k) (A000010) divides σ(k) (A000203). A20492

Number of partitions of n into distinct and relatively prime parts. A78374

Octagonal pyramidal numbers: a(n) = n*(n+1)*(2·n-1)/2. A2414

Expansion of e.g.f.: (x/(1-x))*exp(x/(1-x)). A52852

Numbers n such that n!3 - 3 is prime, where n!3 = n!!! is a triple factorial number (A007661). A242994

Triangular numbers plus quarter squares: n*(n+1)/2 + floor(n²/4) (i.e., A000217(n) + A002620(n)). A6578

Integers of the form m*(m + 7)/8. A274979