Properties of the Number 8382

Eight Thousand Three Hundred Eighty-Two

Basics

Value: 8381 → 8382 → 8383

Parity: even

Prime: No

Previous Prime: 8377

Next Prime: 8387

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 127

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 127, 254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000010111110

Octal: 20276

Duodecimal: 4A26

Hexadecimal: 20be

Square: 70257924

Square Root: 91.55326318597278

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

Positive integers k such that k-th triangular number is palindromic. A8509

Let A(n) = #{(i,j,k): i² + j² + k² <= n}, V(n) = (4/3)π*n^3/2, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record. A92

Sum of all the parts in the partitions of n into 8 squarefree parts. A326444

Numbers which are the sum of their proper divisors containing the digit 9. A59468

Number of degree n products of distinct cyclotomic polynomials. A280611

Triangle read by rows, in which n-th row contains smallest set of n consecutive numbers with distinct prime signatures. A83788

Let i be in {1,2,3,4} and r>=0 an integer. Let p ={p₁,p₂,p₃,p₄} = {-3,0,1,2}, n=3·r+p_i and define a(-3)=0. Then a(n)=a(3·r+p_i) gives the number of H_9,3,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(2·cos(π/9)). A187497

Analog of A097717 in base 2. A249596

Number of partitions of n such that the least part occurs exactly five times. A97093

Expansion of (1 - x²)/(1 - 3·x² - x³). A188048