Properties of the Number 1044

One Thousand Forty-Four

Basics

Value: 1043 → 1044 → 1045

Parity: even

Prime: No

Previous Prime: 1039

Next Prime: 1049

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 29

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 29, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10000010100

Octal: 2024

Duodecimal: 730

Hexadecimal: 414

Square: 1089936

Square Root: 32.31098884280702

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

Number of simple graphs on n unlabeled nodes. A88

Generalized Stirling numbers, [n+2,3]_2: a(n) = n! * ∑_k=0..n-1 (k+1)/(n-k). A1705

Numbers k such that k¹⁶ + 1 is prime. A6313

Sums of twin prime pairs. A54735

e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2·k. A54979

Coreful perfect numbers: numbers k such that csigma(k) = 2·k, where csigma(k) is the sum of the coreful divisors of k (A057723). A307958

Jablonski table T(n,k) read by antidiagonals: T(n,k) = number of necklaces with n beads of k colors. A75195

Numbers k such that there exists a unique integer composition whose first sums are the k-th composition in standard order. A390745

G.f.: 1/p(x), where p(x) = degree 22 Salem polynomial p(x) = x²² + x²¹ - x¹⁹ - 2·x¹⁸ - 3·x¹⁷ - 3·x¹⁶ - 2·x¹⁵ + 2·x¹³ + 4·x¹² + 5·x¹¹ + 4·x¹⁰ + 2·x⁹ - 2·x⁷ - 3·x⁶ - 3·x⁵ - 2·x⁴ - x³ + x + 1. A143419