Properties of the Number 33158

Thirty-Three Thousand One Hundred Fifty-Eight

Basics

Value: 33157 → 33158 → 33159

Parity: even

Prime: No

Previous Prime: 33151

Next Prime: 33161

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 59 × 281

Divisors: 1, 2, 59, 118, 281, 562, 16579, 33158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000000110000110

Octal: 100606

Duodecimal: 17232

Hexadecimal: 8186

Square: 1099452964

Square Root: 182.09338263649232

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 or antidiagonally adjacent to 1 neighboring 1s. A297224

Array read by antidiagonals: T(m,n) is the number of dominating induced trees in the grid graph P_m X P_n. A360846

Expansion of g.f. A(x) satisfying ∑_n>=0 (-1)ⁿ * xⁿ * ∏_k=0..n (x^2·k+1 + A(x)) = theta₃(x). A369683

Number of triples {i,j,k}, i>1, j>1, k>1, such that i·j*k < n³. A37092

1/4 the number of (n+1) X 4 binary arrays with all 2 X 2 subblock sums the same. A183980

a(n) is the number of terms in the expansion of (x-y)*(x⁴-y⁴)*(x⁹-y⁹)*...*(x^n²-y^n²). A225549

Antidiagonal sums of A163280. A163983

Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s. A297222

Number of 5Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s. A297227

Number of n X n 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. A298088