Properties of the Number 4072

Four Thousand Seventy-Two

Basics

Value: 4071 → 4072 → 4073

Parity: even

Prime: No

Previous Prime: 4057

Next Prime: 4073

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 509

Divisors: 1, 2, 4, 8, 509, 1018, 2036, 4072

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 111111101000

Octal: 7750

Duodecimal: 2434

Hexadecimal: fe8

Square: 16581184

Square Root: 63.812224534175265

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

Second-order Eulerian numbers: a(n) = 2ⁿ - 2·n. A5803

Number of steps to go from 2ⁿ⁺¹-1 to (2ⁿ)-1 using the iterative process described in A071542. A213709

Numbers m such that there are precisely 14 groups of order m. A294155

Expansion of ∏_k>0 (∑_m>=0 x^k·m²). A300446

a(n) = 4ⁿ - 4·n. A107584

a(n) = (15·n² + 9·n + 2)/2. A220083

The difference between number of even and number of odd Grassmannian permutations of size n. A356185

Triangle of numbers of semi-meanders of order n with k components. A46726

Triangle T(n,k) (n >= 1, 0 <= k <= floor((n-1)/2)) read by rows, where T(n,k) = (k+1)T(n-1,k) + (2n-4k)T(n-1,k-1). A101280

Number of permutations of length n which avoid the patterns 321, 2143, 3124; or avoid the patterns 132, 2314, 4312, etc. A116731