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Properties of the Number 17768

Seventeen Thousand Seven Hundred Sixty-Eight

Basics

Value: 17767 → 17768 → 17769

Parity: even

Prime: No

Previous Prime: 17761

Next Prime: 17783

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 3 × 2221

Divisors: 1, 2, 4, 8, 2221, 4442, 8884, 17768

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100010101101000

Octal: 42550

Duodecimal: A348

Hexadecimal: 4568

Square: 315701824

Square Root: 133.29666162361306

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 binary sequences of length n with no initial repeats (or, with no final repeats). A122536
Number of integer partitions of n such that for some part k the multiplicity of k exceeds k. A387578
Start with any initial string of n numbers s(1), ..., s(n), with s(1) = 2, other s(i)'s = 2 or 3 (so there are 2n-1 starting strings). The rule for extending the string is this as follows: To get s(n+1), write the string s(1)s(2)...s(n) as xyk for words·and y (where y has positive length) and k is maximized, i.e., k = the maximal number of repeating blocks at the end of the sequence. Then a(n) = number of starting strings for which k = 1. A93371
G.f.: ∑n>=0 xn*(n+1/2) / ∏k=1..n (1 - k·xk). A204856
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237779
Colombian numbers that are also Bogotá numbers. A336984
Number of binary sequences of length 2n and curling number 1. A211966
Number of ways to reciprocally link elements of an n X 5 array either to themselves or to exactly two horizontal and vertical neighbors, without consecutive collinear links. A220611
Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237772
Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237776