Properties of the Number 72884

Seventy-Two Thousand Eight Hundred Eighty-Four

Basics

Value: 72883 → 72884 → 72885

Parity: even

Prime: No

Previous Prime: 72883

Next Prime: 72889

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 19 × 137

Divisors: 1, 2, 4, 7, 14, 19, 28, 38, 76, 133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110010110100

Octal: 216264

Duodecimal: 36218

Hexadecimal: 11cb4

Square: 5312077456

Square Root: 269.9703687444235

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

Table of coefficients of a polynomial sequence related to the Springer numbers. A185417

Number of integer compositions of n in which the greatest part appears more than once. A363262

Coefficients of the power series expansion at p=1 of the time constant C(-2,p) for last passage percolation on the complete directed acyclic graph, where the edges' weights are equal to 1 or -2 with respective probabilities p and 1-p. A373090

Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2. A178121

Worpitzky(n, k)*Harmonic(k), triangle read by rows. A176276

Triangle read by rows. T(n, k) = |Stirling1(n, k)| * Stirling2(n + k, n) = A132393(n, k) * A048993(n + k, n). A354797

Number of (n+2)X(4+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. A255752

Number of (2+2)X(n+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. A255757

If n² has an even number of digits, write n after the left half of the digits of n² and before the right half, otherwise if n² has 2t+1 digits, write n after the first t digits of n² and before the last t+1 digits. A274620