Properties of the Number 744

Seven Hundred Forty-Four

Basics

Value: 743 → 744 → 745

Parity: even

Prime: No

Previous Prime: 743

Next Prime: 751

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 31

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000

Octal: 1350

Duodecimal: 520

Hexadecimal: 2e8

Square: 553536

Square Root: 27.27636339397171

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

List of totally balanced sequences of 2n binary digits written in base 10. Binary expansion of each term contains n 0's and n 1's and reading from left to right (the most significant to the least significant bit), the number of 0's never exceeds the number of 1's. A14486

Coefficients of modular function j as power series in q = e^{2 π i t}. Another name is the elliptic modular invariant J(τ). A521

Coefficients of the modular function J = j - 744. A14708

Number of ways of writing n as a sum of 4 squares; also θ series of four-dimensional cubic lattice Z⁴. A118

Number of partitions of n into prime parts. A607

Coefficients in expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352

Self-convolution of Fibonacci numbers. A1629

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

The "comma sequence": the lexicographically earliest sequence of positive numbers with the property that the sequence formed by the pairs of digits adjacent to the commas between the terms is the same as the sequence of successive differences between the terms. A121805

Skew Fibonacci-Pascal triangle read by rows. A37027