Properties of the Number 42772

Forty-Two Thousand Seven Hundred Seventy-Two

Basics

Value: 42771 → 42772 → 42773

Parity: even

Prime: No

Previous Prime: 42767

Next Prime: 42773

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 17 ² × 37

Divisors: 1, 2, 4, 17, 34, 37, 68, 74, 148, 289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010011100010100

Octal: 123424

Duodecimal: 20904

Hexadecimal: a714

Square: 1829443984

Square Root: 206.81392603013947

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 integer partitions of n with at least two adjacent parts of quotient 2. A350846

Number of n X 5 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s. A297296

Triangle T(n,m) read by rows: ∑_k=1..m binomial(2·n, n+k)*d(k), m<=n, with d(k)=A000005(k). A351145

Numbers k such that the product of distinct digits of k equals the sum of the prime divisors of k. A357262

a(n) = T(n, 3), where T(n, k) = ∑_i=0..n i^k * binomial(n, i) * (1/2)^n-k. A366151

Numerators of continued fraction convergents to sqrt(917). A42772