Properties of the Number 32480

Thirty-Two Thousand Four Hundred Eighty

Basics

Value: 32479 → 32480 → 32481

Parity: even

Prime: No

Previous Prime: 32479

Next Prime: 32491

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 × 7 × 29

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111011100000

Octal: 77340

Duodecimal: 16968

Hexadecimal: 7ee0

Square: 1054950400

Square Root: 180.22208521710095

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 partitions of n in which the least part is odd. A26804

If X₁, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n). A130809

Relative of Hofstadter Q-sequence: a(n) = max(0, n+32478) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A274058

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240412

Least n-bit number whose binary representation's substrings represent the maximal number (A112509(n)) of distinct integers. A112510

McKay-Thompson series of class 9c for the Monster group. A58095

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k peaks (i.e., ud and Ud's). A108425

Number of points of l₁ norm n in the "diamond" lattice D^+_4. A35878

Antidiagonal sums of the convolution array A213778. A213780

Triangle read by rows: T(n,k) is the number of labeled semigroups with n elements whose center contains k elements. A391157