Properties of the Number 83692

Eighty-Three Thousand Six Hundred Ninety-Two

Basics

Value: 83691 → 83692 → 83693

Parity: even

Prime: No

Previous Prime: 83689

Next Prime: 83701

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 ³ × 61

Divisors: 1, 2, 4, 7, 14, 28, 49, 61, 98, 122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100011011101100

Octal: 243354

Duodecimal: 40524

Hexadecimal: 146ec

Square: 7004350864

Square Root: 289.2956964768055

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

Consider the Diophantine equation x³ + y³ = z³ + 1 (1<x<y<z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791), and increasing values of y in case of ties. Sequence gives values of y. A50793

Triangle, read by rows, each row n being defined by g.f. ∏_k=1..n (k + x + 2·k*x²), for n >= 0. A322891

Numbers N such that N + the sum of the cubes of its digits is again a third power. A362953

Indices of primes in sequence defined by A(0) = 79, A(n) = 10·A(n-1) - 21 for n > 0. A101150

A musically inspired Titius-Bode-like sequence based on the geometric division of 4- and 5-dimensional space: Z_n+1 = 3 * (C(n-1, 0) + C(n-1, 1) + C(n-1, 2) + C(n-1, 3) + C(n-1, 4) + C(n-1, 5)*A059620(n+6)) + 4. A209257

G.f. A(x) satisfies: [xⁿ] A(x)^3·n+2 / (x·A(x)³)' = 0 for n>1. A302059

Length of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}. A83692