Properties of the Number 86372

Eighty-Six Thousand Three Hundred Seventy-Two

Basics

Value: 86371 → 86372 → 86373

Parity: even

Prime: No

Previous Prime: 86371

Next Prime: 86381

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 11 × 13 × 151

Divisors: 1, 2, 4, 11, 13, 22, 26, 44, 52, 143

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000101100100

Octal: 250544

Duodecimal: 41B98

Hexadecimal: 15164

Square: 7460122384

Square Root: 293.89113630730685

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 isoscent sequences of length n with maximal number of ascents. A243237

a(n) = ∑_d∣n A007955(d) * A000027(n/d) = ∑_d∣n A007955(d) * (n/d), where A007955(m) = product of divisors of m. A174932

The nonzero difference between the Pascal {1,8,1} level triangle sequence and the {1,8,1} Catalan generalized triangle: t0(n,m)=Binomial[n, m]*Product[k!*(n + k)!/((m + k)!*(n - m + k)!), {k, 1, 7}]. A(n,k)=(3·n - 3·k + 1)A(n - 1, k - 1) + (3·k - 2)A(n - 1, k); t(n,m)=A(n,m)-t0(n,m). The first three levels and the external columns are zero and extracted. A142469

First differences of A027349. A86372