Properties of the Number 53847

Fifty-Three Thousand Eight Hundred Forty-Seven

Basics

Value: 53846 → 53847 → 53848

Parity: odd

Prime: No

Previous Prime: 53831

Next Prime: 53849

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 193

Divisors: 1, 3, 9, 31, 93, 193, 279, 579, 1737, 5983

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001001010111

Octal: 151127

Duodecimal: 271B3

Hexadecimal: d257

Square: 2899499409

Square Root: 232.04956367121227

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+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250632

Number of sortable normal multiset partitions of weight n. A326212

Number of binary necklaces with n beads and at least four consecutive black beads. A351361

Numbers k such that φ(k) is equal to A008473(k+1). A39781

Number of (n+1)X(2+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250626

Number of (6+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250638

Numbers k such that the smoothly undulating palindromic number (72·10^k - 27)/99 is a prime. A62221

Number of n X n matrices over GF(3) of order dividing 3 (i.e., number of solutions of X³=I in GL(n,3)). A53847