Properties of the Number 30312

Thirty Thousand Three Hundred Twelve

Basics

Value: 30311 → 30312 → 30313

Parity: even

Prime: No

Previous Prime: 30307

Next Prime: 30313

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 421

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011001101000

Octal: 73150

Duodecimal: 15660

Hexadecimal: 7668

Square: 918817344

Square Root: 174.1034175425629

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

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235107

Triangle T, read by rows, where column k of T equals (k+1)*(column k of T²) when shifted to have an initial '1'; i.e., T(n,k) = (k+1)*[T²](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0. A123305

Column 1 of triangle A123305. A123307

Lexicographically earliest sequence of nonnegative integers such that two distinct terms differ by at least 4 decimal digits. A346000

Number of ways to place 5 nonattacking knights on an n X n toroidal board. A172532

Number of k-element subsets S of {1,...,n} such that mean(S) is not equal to median(S). A212140

Numbers t which satisfy the equation: t mod k = floor((t - k)/k) mod k (1 <= k <= t) only for k = 1 and t. A375007

Number of (n+1) X (3+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235102

arcsin(arcsinh(x)+arcsin(x))=2·x+8/3!*x³+306/5!*x⁵+30312/7!*x⁷... A13086

Number of (n+1) X (n+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235099