Properties of the Number 71344

Seventy-One Thousand Three Hundred Forty-Four

Basics

Value: 71343 → 71344 → 71345

Parity: even

Prime: No

Previous Prime: 71341

Next Prime: 71347

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 7 ³ × 13

Divisors: 1, 2, 4, 7, 8, 13, 14, 16, 26, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011010110000

Octal: 213260

Duodecimal: 35354

Hexadecimal: 116b0

Square: 5089966336

Square Root: 267.1029763967448

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 paraffins. A6009

a(n) = ∏_k=1..n (3·k²+1). A277353

Totally multiplicative sequence with a(p) = 7*(p+2) for prime p. A167308

Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically. A207345

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically. A207349

a(n) = (3·n+7)*n². A257042

a(n) = ∑_k=0..n (|Stirling1(n,k)| * k!)³. A382808

E.g.f.: exp( ∑_n>=1 A000108(n-1)*xⁿ/n ), where A000108(n) = binomial(2·n,n)/(n+1) forms the Catalan numbers. A243953

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically. A207346

a(n) = greatest positive r <= n, such that the origin-centered sphere of radius sqrt(r) touches A071342(n) lattice points. A71344