Properties of the Number 93696

Ninety-Three Thousand Six Hundred Ninety-Six

Basics

Value: 93695 → 93696 → 93697

Parity: even

Prime: No

Previous Prime: 93683

Next Prime: 93701

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁹ × 3 × 61

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10110111000000000

Octal: 267000

Duodecimal: 46280

Hexadecimal: 16e00

Square: 8778940416

Square Root: 306.09802351534387

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

Factorial splitting: write n! = x·y with x <= y and·maximal; sequence gives value of y-x. A61057

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. A206685

Minimal value of |product(A) - product(B)| where A and B are a partition of {1,2,3,...,n}. A38667

First element r of (-1)σ sociable triple (r,s,t): s=(-1)σ(r), t=(-1)σ(s), r=(-1)σ(t), where if x=Product p(i)^r(i), then (-1)σ(x)=Product(-1+(Sum p(i)^s(i), s(i)=1 to r(i))). A49057

Minimum difference |product(A) - product(B)| where A and B are a partition of {1,2,3,...,2·n} and |A| = |B| = n. A352813

Number of -n..n arrays x(0..3) of 4 elements with zero sum and nonzero first and second differences. A200456

Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. A206678

Number of (n+1) X 7 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. A206683

Numbers n such that all divisors of n have an odd number of 1's in their binary expansions. A93696

Number of distinct values that can be produced by splitting n and adding the parts. A348674