Properties of the Number 30182

Thirty Thousand One Hundred Eighty-Two

Basics

Value: 30181 → 30182 → 30183

Parity: even

Prime: No

Previous Prime: 30181

Next Prime: 30187

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 15091

Divisors: 1, 2, 15091, 30182

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010111100110

Octal: 72746

Duodecimal: 15572

Hexadecimal: 75e6

Square: 910953124

Square Root: 173.72967507020786

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)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A255756

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4. A252065

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically. A254845

Irregular triangle: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 4213. 0 <= k <= A342646(n). A342840

Expansion of ∏_k>=1 (1 + x^{2·k - 1})^k². A294749

Numbers n such that n² + 1 is divisible by a 5th power. A218564

Base-10 numbers k whose number of divisors equals the number of divisors in R(k), where k is written in all bases from base-2 to base-10 and R(k), the digit reversal of k, is read as a number in the same base. A346113

Numbers k such that k² + 1 is divisible by a 6th power. A218565

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically. A254838

Number of (n+2)X(4+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4. A252061