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Properties of the Number 8322

Eight Thousand Three Hundred Twenty-Two

Basics

Value: 8321 → 8322 → 8323

Parity: even

Prime: No

Previous Prime: 8317

Next Prime: 8329

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 19 × 73

Divisors: 1, 2, 3, 6, 19, 38, 57, 73, 114, 146

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000010000010

Octal: 20202

Duodecimal: 4996

Hexadecimal: 2082

Square: 69255684

Square Root: 91.22499657440389

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

A(n,k) is the n-th derivative of fk at x=1, and fk is the k-th of all functions that are representable as xx^...x with m>=1 x's and parentheses inserted in all possible ways; square array A(n,k), n>=0, k>=1, read by antidiagonals. A215703
Palindromic numbers in bases 4 and 8 written in base 10. A259382
Numbers k such that the cumulative sums of the k-th composition in graded reverse lexicographic order ("standard order", see A066099) do not cover all residue classes modulo p for any prime p; i.e., such that (0, x1, ..., x1+...+xj) is an admissible prime tuple pattern, where (x1, ..., xj) is the k-th composition. A387383
Base-2 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0,0,0,0. A195904
n-th derivative of ((xx)x)x at x=1. A215704
Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 9·x + 1. A257608
Number of relaxed compacted binary trees of right height at most one with empty sequences between branch nodes on level 0. A288952
Expansion of (1/x) * SeriesReversion( x * (1-x)3 * (1-x2)3 ). A368079
a(n) = (2·n + 1)*(5·n + 6). A153127
G.f. A(x) satisfies: A(x) = x*(1 + 3·A(x)*A'(x)) / (1 + A(x)*A'(x)). A301932