Properties of the Number 30145

Thirty Thousand One Hundred Forty-Five

Basics

Value: 30144 → 30145 → 30146

Parity: odd

Prime: No

Previous Prime: 30139

Next Prime: 30161

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 6029

Divisors: 1, 5, 6029, 30145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010111000001

Octal: 72701

Duodecimal: 15541

Hexadecimal: 75c1

Square: 908721025

Square Root: 173.62315513778685

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

Sum over all partitions λ of n of binomial(|λ|, |{λ}|). A339006

T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order. A206650

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..3 nXk array. A221632

T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. A267957

a(n) is the number of distinct radii of circles passing through at least three points in a square grid of n X n points. A357301

"CGJ" (necklace, element, labeled) transform of 2,1,1,1... A32148

Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order. A206645

Number of nX4 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order. A206646

Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..3 nX3 array. A221630

Number of nX3 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. A267953