Properties of the Number -3171

One Hundred Seventy-One

Basics

Value: -3172 → -3171 → -3170

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 151

Divisors: 1, 3, 7, 21, 151, 453, 1057, 3171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110001100011

Octal: -6143

Duodecimal: -1A03

Hexadecimal: -c63

Square: 10055241

Square Root: 56.31163290120435

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

a(n) = (1/(24·n)) * ∑_d∣n A008683(n/d) * (A288877(d) - A288261(d)). A294626

Expansion of e.g.f. (1+x)^sin(x). A7118

Expansion of e.g.f.: tan(sin(x)*log(x+1)). A12282

Expansion of e.g.f. arctanh(sin(x)*log(x+1))=2/2!*x²-3/3!*x³+4/4!*x⁴-20/5!*x⁵... A12287

Number of partitions of n in which the least part is odd. A26804

Sum of squares of three consecutive primes. A133529

Generalized 17-gonal (or heptadecagonal) numbers: m*(15·m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303305

Decimal encoding of the prime factorization of n: concatenation of prime factors and exponents. A67599

17-gonal (or heptadecagonal) numbers: a(n) = n*(15·n-13)/2. A51869

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305