Properties of the Number 43004

Forty-Three Thousand Four

Basics

Value: 43003 → 43004 → 43005

Parity: even

Prime: No

Previous Prime: 43003

Next Prime: 43013

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 13 × 827

Divisors: 1, 2, 4, 13, 26, 52, 827, 1654, 3308, 10751

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011111111100

Octal: 123774

Duodecimal: 20A78

Hexadecimal: a7fc

Square: 1849344016

Square Root: 207.37405816543207

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 integer partitions of n that are empty, or have smallest part dividing all the others, but do not have greatest part divisible by all the others. A343345

G.f.: exp( ∑_n>=1 [∑_k=0..2·n C(2·n,k)² *x^k] *xⁿ/n ). A197601

Number of white square subarrays of (n+1)X(7+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A230988

Number of white square subarrays of (n+1)X(6+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A230987

Number of black square subarrays of (n+1)X(6+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A231069

T(n,k)=Number of white square subarrays of (n+1)X(k+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A230989

T(n,k)=Number of black square subarrays of (n+1)X(k+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A231070

Base-4 palindromes that start with 2. A43004