Properties of the Number 61731

Sixty-One Thousand Seven Hundred Thirty-One

Basics

Value: 61730 → 61731 → 61732

Parity: odd

Prime: No

Previous Prime: 61729

Next Prime: 61751

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 ³

Divisors: 1, 3, 9, 19, 57, 171, 361, 1083, 3249, 6859

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000100100011

Octal: 170443

Duodecimal: 2B883

Hexadecimal: f123

Square: 3810716361

Square Root: 248.4572397818184

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

Numbers n such that n divides 2ⁿ + 1. A6521

T(n,k)=Petersen graph (3,1) coloring a rectangular array: number of nXk 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,3 3,5 3,4 1,2 1,4 4,5 2,0 2,5 and every array movement to a horizontal or antidiagonal neighbor moves along an edge of this graph, with the array starting at 0. A223556

Numbers k such that k | 8^k + 1. A15955

a(n) = n²*binomial(n,2). A92364

Number of 3-voter voting schemes with n linearly ranked choices. A7009

Numbers n such that n divides 2ⁿ^2 + 1. A93546

Irregular triangle read by rows: T(n, k) = number of inequivalent (mod the dihedral group D₈ of order 8) ways to place k nonattacking knights on an n X n board. A243716

Restricted partitions. A1981

a(n) = 9·n³. A244728

a(n) = ∏_1<=j,k,m<=n (4·cos(j*π/(2·n+1))² + 4·cos(k*π/(2·n+1))² + 4·cos(m*π/(2·n+1))²). A340182