Properties of the Number 96824

Ninety-Six Thousand Eight Hundred Twenty-Four

Basics

Value: 96823 → 96824 → 96825

Parity: even

Prime: No

Previous Prime: 96823

Next Prime: 96827

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7 ² × 13 × 19

Divisors: 1, 2, 4, 7, 8, 13, 14, 19, 26, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101000111000

Octal: 275070

Duodecimal: 48048

Hexadecimal: 17a38

Square: 9374886976

Square Root: 311.16555079250014

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 which are the sums of consecutive seventh powers. A217847

Let spm(n) be the sum of all prime factors of n counted with multiplicities (A001414); sequence gives numbers n such that spm(n+spm(n)) divides both n and n+spm(n). A131564

E.g.f.: exp(8·x*G(x)⁷) / G(x)⁷ where G(x) = 1 + x·G(x)⁸ is the g.f. of A007556. A251578

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n)-n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1})} + ∑_i=1..k-1{σ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A240902

a(n) = n for n <= 2; for n > 2, a(n) = 2a(n-1) - a(n - floor(1/2 + sqrt(2(n-1)))). A96824