Properties of the Number 3033

Three Thousand Thirty-Three

Basics

Value: 3032 → 3033 → 3034

Parity: odd

Prime: No

Previous Prime: 3023

Next Prime: 3037

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 337

Divisors: 1, 3, 9, 337, 1011, 3033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101111011001

Octal: 5731

Duodecimal: 1909

Hexadecimal: bd9

Square: 9199089

Square Root: 55.072679252057455

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

Infinite lower triangular matrix, M, that satisfies [M³](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78122

Numbers m such that 2^m reversed is prime. A57708

Numbers whose decimal expansion contains only 0's and 3's. A169966

T(n,k)=Number of nXk 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order. A240783

Odd numbers k for which A064989(σ(k)) > A064989(k), where A064989 shifts the prime factorization one step towards lower primes, and σ is the sum of divisors function. A348749

Numbers which are simultaneously of the form x²+y², x²+2y², x²+3y², x²+7y², all with x>0, y>0. A216451

Numbers in which 3 outnumbers all other digits together. A292733

a(n) = 3·a(n-2) - a(n-3), with a(0)=0, a(1)=-3, and a(2)=6. A215666

Number of integer partitions of n with superdiagonal run-lengths. A388714

a(n) = ( a(n-1)*a(n-7) + a(n-4)² ) / a(n-8); a(0) = ... = a(7) = 1. A18896