Properties of the Number 742

Seven Hundred Forty-Two

Basics

Value: 741 → 742 → 743

Parity: even

Prime: No

Previous Prime: 739

Next Prime: 743

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 53

Divisors: 1, 2, 7, 14, 53, 106, 371, 742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100110

Octal: 1346

Duodecimal: 51A

Hexadecimal: 2e6

Square: 550564

Square Root: 27.23967694375247

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

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

10-gonal (or decagonal) numbers: a(n) = n*(4·n-3). A1107

Number of partitions of n into divisors of n. A18818

Generalized 10-gonal numbers: m*(4·m - 3) for m = 0, +- 1, +- 2, +- 3, ... A74377

Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers). A7629

Numbers whose sum of divisors is a square. A6532

Expansion of g.f. x*(1 + 3·x)/((1 + x)*(1 - x)³). A35608

Matula-Goebel numbers of lone-child-avoiding rooted trees. A291636

a(n) = 1 + n + 2·n². A84849

Numbers that are the sum of 10 positive 5th powers. A3355