Properties of the Number 32816

Thirty-Two Thousand Eight Hundred Sixteen

Basics

Value: 32815 → 32816 → 32817

Parity: even

Prime: No

Previous Prime: 32803

Next Prime: 32831

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 7 × 293

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000000110000

Octal: 100060

Duodecimal: 16BA8

Hexadecimal: 8030

Square: 1076889856

Square Root: 181.15186998758804

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 sum-free subsets of {1, ..., n}. A7865

Number of ordered rooted trees with n generators. A108524

Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)ⁿ⁺¹*p(n, x)/x, p(n, x) = x·D( p(n-1, x) ), with p(1, x) = x/(1-x)², p(2, x) = x*(1+x)/(1-x)³, and p(3, x) = x*(1+12·x+x²)/(1-x)⁴, read by rows. A166343

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192967

Solutions y of the Mordell equation y² = x³ - 3a² - 1 for a = 0,1,2, ... (solutions·are given by A053755). A173200

Exponential Riordan array (e^x, x·A000108(x)). A185946

Triangle read by rows. Inverse of the convolution triangle of A108524, the number of ordered rooted trees with n generators. A357585

Augmentation of the triangular array |A123191|. See Comments. A193559

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 606", based on the 5-celled von Neumann neighborhood. A273206

Number of partitions of n into parts not of the form 19k, 19k+5 or 19k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 8 are greater than 1. A35974