Properties of the Number 71799

Seventy-One Thousand Seven Hundred Ninety-Nine

Basics

Value: 71798 → 71799 → 71800

Parity: odd

Prime: No

Previous Prime: 71789

Next Prime: 71807

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 13 × 263

Divisors: 1, 3, 7, 13, 21, 39, 91, 263, 273, 789

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100001110111

Octal: 214167

Duodecimal: 35673

Hexadecimal: 11877

Square: 5155096401

Square Root: 267.9533541495609

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

Generalized ballot numbers (first differences of Motzkin numbers). A2026

G.f. A(x) satisfies A(x) = 1 + x³ * A(x)² / (1 - x). A346503

a(n) = smallest k having at least four prime divisors d such that (d + n) | (k + n). A202159

Expansion of (-2 +x² +x -x·sqrt(1-2·x-3·x²))/(-1 +x -sqrt(1-2·x-3·x²)). A244884

Quasi-Carmichael numbers to base -9: squarefree composites n such that prime p∣n ==> p+9∣n+9. A29569

Expansion of (1-x)*c(x/(1+x)), where c(x) is the g.f. of the Catalan numbers (A000108). A105695

Expansion of 1/((1-2x)(1-5x)(1-7x)(1-11x)). A25995

Number of partitions of n into exactly 7 different parts with distinct multiplicities. A212118

Triangle read by rows: T(n,k) is the number of short bushes with n edges and having the leftmost leaf at height k (a short bush is an ordered tree with no nodes of outdegree 1). A106489

Irregular triangle read by rows: T(n,m) = number of lattice paths of type A^Q terminating at point (n, m). A291083