Properties of the Number 30418

Thirty Thousand Four Hundred Eighteen

Basics

Value: 30417 → 30418 → 30419

Parity: even

Prime: No

Previous Prime: 30403

Next Prime: 30427

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 67 × 227

Divisors: 1, 2, 67, 134, 227, 454, 15209, 30418

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011011010010

Octal: 73322

Duodecimal: 1572A

Hexadecimal: 76d2

Square: 925254724

Square Root: 174.40756864310677

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 solutions to c(1)t(1) + ... + c(n)t(n) = 0, where c(i) = +-1 for i>1, c(1) = t(1) = 1, t(i) = triangular numbers (A000217). A58498

Triangle T(n,k), read by rows, defined by T(n,k)=3·T(n-1,k)-T(n-1,k-1)-T(n-2,k), T(0,0)=1, T(1,0)=2, T(1,1)=-1, T(n,k)=0 if k<0 or if k>n. A123971

Number of ways of partitioning the set of the first n positive triangular numbers into two subsets whose sums differ at most by 1. A308682

On a diagonally numbered square grid, with labels starting at 1, this is the number of the last cell that a (1,n) leaper reaches before getting trapped when moving to the lowest available unvisited square, or -1 if it never gets trapped. A352731

a(n) = floor(n*(n³-n-3)/(2*(n-1))). A117561

Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101. A260978

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101. A260979

Partial sums of A032598. A129330

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101. A260980

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically. A207423