Properties of the Number 46832

Forty-Six Thousand Eight Hundred Thirty-Two

Basics

Value: 46831 → 46832 → 46833

Parity: even

Prime: No

Previous Prime: 46831

Next Prime: 46853

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 2927

Divisors: 1, 2, 4, 8, 16, 2927, 5854, 11708, 23416, 46832

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011011110000

Octal: 133360

Duodecimal: 23128

Hexadecimal: b6f0

Square: 2193236224

Square Root: 216.40702391558366

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 compositions (ordered partitions) of n into squares. A6456

Expansion of (theta₃(x) - 1)² / (2 * (3 - theta₃(x))). A347805

Expansion of (theta₃(x) - 1)³ / (4 * (3 - theta₃(x))). A347806

Triangle where T(n,k) = number of compositions of n² - k² into sums of squares for k=0..n, n>=0, as read by rows. A232266

a(1) = a(2) = 1. For n >=3, a(n) = the a(n-2)th integer, among those positive integers which are missing from the first (m-1) terms of the sequence, below a(n-1) if such a positive integer exists. Otherwise, a(n) = the a(n-2)th integer, among those positive integers which are missing from the first (m-1) terms of the sequence, above a(n-1). A118627

Expansion of 1 / (1 - 2 * ∑_k>=1 x^k²). A329971

Number of compositions of n² into sums of squares. A224366

Internal digits of n² include digits of n. A46832

Number of n X 3 arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221375