Properties of the Number 86848

Eighty-Six Thousand Eight Hundred Forty-Eight

Basics

Value: 86847 → 86848 → 86849

Parity: even

Prime: No

Previous Prime: 86843

Next Prime: 86851

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 23 × 59

Divisors: 1, 2, 4, 8, 16, 23, 32, 46, 59, 64

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101001101000000

Octal: 251500

Duodecimal: 42314

Hexadecimal: 15340

Square: 7542575104

Square Root: 294.6998473023018

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

Indices of records of A388038. A388263

Sum of the areas of the Durfee squares of all partitions of n. A116503

a(n) = ∑_k=1..n μ(k) * (floor(n/k)⁴ - floor((n-1)/k)⁴). A344597

First differences are formed by interleaving {2^k - 1, k = 1, 2, 3, ...} and {11·k, k = 5, 4, 3, ...}. A86848

Number of nX2 0..3 arrays with values 0..3 introduced in row major order, the number of instances of each value within one of each other, and no element equal to any horizontal or vertical neighbor. A199250

Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237905