Properties of the Number 42284

Forty-Two Thousand Two Hundred Eighty-Four

Basics

Value: 42283 → 42284 → 42285

Parity: even

Prime: No

Previous Prime: 42283

Next Prime: 42293

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 11 × 31 ²

Divisors: 1, 2, 4, 11, 22, 31, 44, 62, 124, 341

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100101100

Octal: 122454

Duodecimal: 20578

Hexadecimal: a52c

Square: 1787936656

Square Root: 205.63073700203478

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

Number of ways to split an integer partition of n into consecutive subsequences of equal length. A323433

Number T(n,k) of entries in the k-th last blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A286416

Number of ways to label the vertices of the octahedron (or faces of the cube) with nonnegative integers summing to n, where labelings that differ only by rotation or reflection are considered the same. A97513

G.f.: A(x,y) = ∑_n>=0 n!*xⁿ*yⁿ * ∏_k=1..n (1+y + 2·k*x·y) / (1 + (1+y)*k·x + 2·k²*x²*y). A221987

Number of entries in the second last blocks of all set partitions of [n]. A286433

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

Partial sums of A032598. A129330

Numerators of continued fraction convergents to sqrt(668). A42284

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,0,1,2,3 for x=0,1,2,3,4. A196680