Properties of the Number 71742

Seventy-One Thousand Seven Hundred Forty-Two

Basics

Value: 71741 → 71742 → 71743

Parity: even

Prime: No

Previous Prime: 71741

Next Prime: 71761

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 1087

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 1087, 2174

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100000111110

Octal: 214076

Duodecimal: 35626

Hexadecimal: 1183e

Square: 5146914564

Square Root: 267.8469712354426

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

Decimal part of a(n)^1/2 starts with a 'nine digits' anagram. A34277

Triangle T(n,k) giving number of 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3). A59684

Sum of squares of first n quarter-squares (A002620). A59859

A linear combination of Eulerian numbers (A008292) and Pascal's triangle (A007318); t(n,m)=(3·A008292(n,m)-A007318(n,m))/2. A141691

T(n, k) = ∑_j=k..n binomial(n, j)*E2(j, j-k), where E2 are the Eulerian numbers A201637. Triangle read by rows, T(n, k) for 0 <= k <= n. A343804

Expansion of (1+x⁴*C)*C, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71742