Properties of the Number 83848

Eighty-Three Thousand Eight Hundred Forty-Eight

Basics

Value: 83847 → 83848 → 83849

Parity: even

Prime: No

Previous Prime: 83843

Next Prime: 83857

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 47 × 223

Divisors: 1, 2, 4, 8, 47, 94, 188, 223, 376, 446

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100011110001000

Octal: 243610

Duodecimal: 40634

Hexadecimal: 14788

Square: 7030487104

Square Root: 289.56519127823356

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

Coefficients of 1/(1-4x-16x²)^1/2; also, a(n) is the central coefficient of (1+2x+5x²)ⁿ. A84770

G.f.: A(x) = INV(x - x·INV(x - x²*INV(x - x³*INV(x - x⁴*INV(x - ...))))), where INV(F(x)) = series reversion of F(x). A194956

a(0)=1; thereafter a(n) = n! + ∑_i=0..n-1 a(i)*a(n-1-i). A229741

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 4·x - (2·k*x)²). A387466

Natural numbers written out with their digits grouped in sets of 5 (leading zeros omitted). A91341

Number of (n+1) X 4 0..1 matrices with each 2 X 2 subblock idempotent. A224545

a(n) = prime(2ⁿ) - n². A141102

a(n)² + 1 is largest prime of the form x² + 1 <= 2ⁿ. A83848