Properties of the Number 30778

Thirty Thousand Seven Hundred Seventy-Eight

Basics

Value: 30777 → 30778 → 30779

Parity: even

Prime: No

Previous Prime: 30773

Next Prime: 30781

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 × 1399

Divisors: 1, 2, 11, 22, 1399, 2798, 15389, 30778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100000111010

Octal: 74072

Duodecimal: 1598A

Hexadecimal: 783a

Square: 947285284

Square Root: 175.43659823423388

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

Numbers n such that n¹⁰²⁴ + 1 is prime (a generalized Fermat prime). A57002

a(n) = ∑_{k=0..floor(n/4)} (n-3·k)!/(n-4·k)!. A357533

Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and having k ladders. A98093

The second list after the following procedure: starting with a list [3] and an empty list, repeatedly add the distinct values in both lists in descending order to the second list and add the corresponding frequencies of those values to the first list. A30778

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255085

Number of (n+1)X(3+1) arrays of permutations of 0..n·4+3 with each element having index change (+-,+-) 0,0 0,1 0,2 or 1,0. A263813