Properties of the Number 97384

Ninety-Seven Thousand Three Hundred Eighty-Four

Basics

Value: 97383 → 97384 → 97385

Parity: even

Prime: No

Previous Prime: 97381

Next Prime: 97387

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 37 × 47

Divisors: 1, 2, 4, 7, 8, 14, 28, 37, 47, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111110001101000

Octal: 276150

Duodecimal: 48434

Hexadecimal: 17c68

Square: 9483643456

Square Root: 312.064095980297

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

a(n) = Z(S_m; σ[1](n), σ[2](n),..., σ[m](n)) where Z(S_m; x₁,x₂,...,x_m) is the cycle index of the symmetric group S_m and σ[k](n) is the sum of k-th powers of divisors of n; m=3. A68020

a(n) = n*(n + 5)*(n + 10)*(n + 15)/24. A264446

Consider the figure made up of a row of n adjacent congruent rectangles, with diagonals of all possible rectangles drawn; a(n) = number of interior vertices where exactly two lines cross. A334701

Second crank moment minus second rank moment: M₂(n) - N₂(n) = 2·spt(n). A211982

Product of all distinct nonzero numbers that can be formed from the digits of n. A61497

Numbers k such that k-3, k-5, k-17, k-257, and k-65537 are all primes. A63825

Total number of comparisons to find each of the values 1 through n using a binary search with 3-way comparisons (less than, equal and greater than), always choosing the mid-most value to compare to. A97384

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 5 king-move adjacent elements, with upper left element zero. A303960