Properties of the Number 82431

Eighty-Two Thousand Four Hundred Thirty-One

Basics

Value: 82430 → 82431 → 82432

Parity: odd

Prime: No

Previous Prime: 82421

Next Prime: 82457

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 43 × 71

Divisors: 1, 3, 9, 27, 43, 71, 129, 213, 387, 639

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100000111111111

Octal: 240777

Duodecimal: 3B853

Hexadecimal: 141ff

Square: 6794869761

Square Root: 287.1079936191258

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

T(n,k) is the number of n X k arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X k array. A219578

a(n) is the number of distinct five-cuboid combinations filling an n X n X n cube only with at least one cut spanning through the full cube. A384737

Number of 3 X n arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3 X n array. A219580

Number of (n+1) X (5+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251134

Number of (n+1) X (7+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251136

The first 10 digits of the cube root of n contain the digits 0-9. A119517

Number of nX7 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX7 array. A219577

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251137

a(n) = the smallest prime p such that there are exactly n sets of consecutive primes, each of which has an arithmetic mean of p. A82431