Properties of the Number 30072

Thirty Thousand Seventy-Two

Basics

Value: 30071 → 30072 → 30073

Parity: even

Prime: No

Previous Prime: 30071

Next Prime: 30089

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 179

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010101111000

Octal: 72570

Duodecimal: 154A0

Hexadecimal: 7578

Square: 904325184

Square Root: 173.41280229556295

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

a(n) = (1+n)*(9 + 11·n + 4·n²)/3. A172482

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300030

Number of length n arrays x(i), i=1..n with x(i) in i..i+7 and no value appearing more than 2 times. A250350

Number of length 5 arrays x(i), i=1..5 with x(i) in i..i+n and no value appearing more than 2 times. A250354

Triangle read by rows: T(n,k) = A(k,n-k), 1 <= k < n, 2 <= n, where A(m,n) is the number of distinct strings consisting of one X, 2·m-1 Y's and 2·n-1 Z's in which the X lies to the right of at least m Y's and at least n Z's. A351583

Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259003

Number of nX5 0..1 arrays with every element equal to 0, 1, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300027

Number of nX7 0..1 arrays with every element equal to 0, 1, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300029

Take apart the sides of each of the integer-sided scalene triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total surface area of all rectangular prisms enclosed in this way. A308235

tan(arcsinh(x)*arctan(x))=2/2!*x²-12/4!*x⁴+478/6!*x⁶-30072/8!*x⁸... A12625