Properties of the Number 43072

Forty-Three Thousand Seventy-Two

Basics

Value: 43071 → 43072 → 43073

Parity: even

Prime: No

Previous Prime: 43067

Next Prime: 43093

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 673

Divisors: 1, 2, 4, 8, 16, 32, 64, 673, 1346, 2692

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100001000000

Octal: 124100

Duodecimal: 20B14

Hexadecimal: a840

Square: 1855197184

Square Root: 207.53794833716555

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 partitions of n such that 2*(least part) < number of parts. A237758

a(n) = [xⁿ](x - 2·x³)/(1 - 2·x*(x + 1))². A331319

Susceptibility series for diamond. A2923

Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant >= 2n. A211152

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x<R, y<R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}. A212749

Numbers n such that n, n+1, n+2, n+3, n+4 are all of the form x²+2·y² for nonnegative x, y. A96783

Coordination sequence for D₁₆ lattice. A107511

Triangle T(n,k) = ∑_0<=j<=k/2 A034867(k,j)*prime(n)^j, read by rows, 0<=k<n. A140894

Numbers n such that the sum of the squares of the digits of nⁿ is a square. A171976

T(n,k)=Number of (n+5)X(k+5) 0..1 matrices with each 6X6 subblock idempotent. A224577