Properties of the Number 17740

Seventeen Thousand Seven Hundred Forty

Basics

Value: 17739 → 17740 → 17741

Parity: even

Prime: No

Previous Prime: 17737

Next Prime: 17747

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 887

Divisors: 1, 2, 4, 5, 10, 20, 887, 1774, 3548, 4435

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010101001100

Octal: 42514

Duodecimal: A324

Hexadecimal: 454c

Square: 314707600

Square Root: 133.19159132617943

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)=Number of nXk 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A202979

T(n,k) is the number of n X k 0..n·k-1 arrays with upper left zero and lower right n·k-1 and each element differing from its horizontal and vertical neighbors by a power of three. A265218

a(n) = ∑_i=0..n digsum₇(i)³, where digsum₇(i) = A053828(i). A231678

a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range. A165599

Number of tilings of a 2 X n rectangle using integer-sided rectangular tiles of equal area. A220768

Central terms of the triangle in A059283. A224729

Expansion of (1+x)/(1-x²-3·x³). A238389

Number of nX3 0..n·3-1 arrays with upper left zero and lower right n·3-1 and each element differing from its horizontal and vertical neighbors by a power of three. A265214

Number of (2n-1)X4 0..8n-5 arrays with upper left zero and lower right 8n-5 and each element differing from its horizontal and vertical neighbors by a power of three. A265215

Number of reduced words of length n in the alphabet {U,U^-1,S,S^-1} that are equal to unity if U³ = S² = 1. A276409