Properties of the Number -993

Nine Hundred Ninety-Three

Basics

Value: -994 → -993 → -992

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 331

Divisors: 1, 3, 331, 993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111100001

Octal: -1741

Duodecimal: -6A9

Hexadecimal: -3e1

Square: 986049

Square Root: 31.51190251317746

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

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = ∑_d∣n (-1)^n/d+d*d^k. A322083

Reflected (see A074058) pentanacci numbers A074048. A74062

Triangle read by rows: T(n,k) appears in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n T(n,k)*(x+k)^k. A247236

Expansion of ∑_k>0 (1/(1+x^k)³ - 1). A363630

a(n) = ∑_{d divides n} (-1)^{d + n/d} * d⁵. A321561

Dirichlet g.f.: 1 / (ζ(s) * ζ(s-1) * ζ(s-2)). A328254

A coefficient tree from the list partition transform relating A111884, A084358, A000262, A094587, A128229 and A131758. A131202

Central polygonal numbers: a(n) = n² - n + 1. A2061

Number of strict knapsack partitions of n. A275972

Start with 1 and repeatedly reverse the decimal digits and add 4 to get the next term. A117828