Properties of the Number 77216

Seventy-Seven Thousand Two Hundred Sixteen

Basics

Value: 77215 → 77216 → 77217

Parity: even

Prime: No

Previous Prime: 77213

Next Prime: 77237

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 19 × 127

Divisors: 1, 2, 4, 8, 16, 19, 32, 38, 76, 127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010110110100000

Octal: 226640

Duodecimal: 38828

Hexadecimal: 12da0

Square: 5962310656

Square Root: 277.8776709273345

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 subsets of {1..n} with all distinct lengths of maximal anti-runs (increasing by more than 1). A384177

Expansion of 1/(1 - x - 3x² + x³). A125691

Expansion of (1/x) * Series_Reversion( x*(1-x)²/(1-x-x⁴) ). A366088

Expansion of 1/sqrt((1-2·x)²-8·x⁴). A113180

Expansion of e.g.f. ∏_k>=1 (1 - log(1 - x^k) / k). A330075

Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock. A236775

Smallest prime(k) such that 2ⁿ divides the product of composite numbers between prime(k) and prime(k+1) but 2ⁿ⁺¹ does not. A77216

A general recursion triangle with third part a power triangle:m=4; Power triangle: f(n,k,m)=If[n·k*(n - k) == 0, 1, n^m - (k^m + (n - k)^m)]; Recursion: A(n,k,m)=(m*(n - k) + 1)*A(n - 1, k - 1, m) + (m·k + 1)*A(n - 1, k, m) + m·f(n, k, m)*A(n - 2, k - 1, m). A157631