Properties of the Number 16173

Sixteen Thousand One Hundred Seventy-Three

Basics

Value: 16172 → 16173 → 16174

Parity: odd

Prime: No

Previous Prime: 16141

Next Prime: 16183

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 599

Divisors: 1, 3, 9, 27, 599, 1797, 5391, 16173

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111100101101

Octal: 37455

Duodecimal: 9439

Hexadecimal: 3f2d

Square: 261565929

Square Root: 127.17311036535986

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 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s. A297519

The value of n for which the two-player impartial {0,1}-Toggle game on a generalized Petersen graph GP(n,2) with a (1,0)-weight assignment is a next-player winning game. A361517

Number of powerful uniform rooted trees with n nodes. A318689

Indices of primes in sequence defined by A(0) = 89, A(n) = 10·A(n-1) - 71 for n > 0. A101060

Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s. A297515

Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s. A297524

a(n) is the least exponentially odd number that is nonsquarefree and is followed by exactly n successive exponentially odd numbers that are squarefree, or -1 if no such number exists. A374536

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, 1), (0, 1, -1), (1, -1, 1)}. A148168

Number of degrees of irreducible representations of symmetric group S_n that appear more than once. A318558

Expansion of 1/((1-6·x)*(1-10·x)). A16173