Properties of the Number 42777

Forty-Two Thousand Seven Hundred Seventy-Seven

Basics

Value: 42776 → 42777 → 42778

Parity: odd

Prime: No

Previous Prime: 42773

Next Prime: 42787

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ² × 97

Divisors: 1, 3, 7, 9, 21, 49, 63, 97, 147, 291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010011100011001

Octal: 123431

Duodecimal: 20909

Hexadecimal: a719

Square: 1829871729

Square Root: 206.8260138377182

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

Number of unlabeled rooted trees with n nodes in which the non-leaf branches directly under any given node are all equal. A320222

Non-palindromic numbers n such that φ(n) = φ(reversal(n)). A97647

Expansion of e.g.f. 1 / (1 - (exp(x) - 1)⁵ / 5!). A346920

Expansion of f(-x, -x⁵)² / f(x, x³) in powers of·where f(, ) is Ramanujan's general θ function. A263041

a(n) = 97·n². A174338

a(n) = floor(n^3/2)*floor(3+n^3/2)/2. A185593

Denominators of continued fraction convergents to sqrt(919). A42777

Number of nX4 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281650