Properties of the Number 10296

Ten Thousand Two Hundred Ninety-Six

Basics

Value: 10295 → 10296 → 10297

Parity: even

Prime: No

Previous Prime: 10289

Next Prime: 10301

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 11 × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 13

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000111000

Octal: 24070

Duodecimal: 5B60

Hexadecimal: 2838

Square: 106007616

Square Root: 101.46920715172658

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

a(n) = n² * (n² - 1)/2. A83374

Number of emergent parts in all partitions of n. A182699

Number of edges formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331765

a(n) = 2·n*(4·n - 1). A14635

Number of ways to choose a set partition of a strict integer partition of n. A294617

Shortest edge c of (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31175

Distinct even numbers in the triangle of denominators in Leibniz's Harmonic Triangle. A46204

In Leibniz's Harmonic Triangle, write the numerator first and then the denominator of each element to the right of the central elements. A46208

Number of nonseparable toroidal tree-rooted maps with n + 2 edges and n + 1 vertices. A6414

Numbers k such that k² is a sum of consecutive cubes larger than 1. A126200