Properties of the Number 15993

Fifteen Thousand Nine Hundred Ninety-Three

Basics

Value: 15992 → 15993 → 15994

Parity: odd

Prime: No

Previous Prime: 15991

Next Prime: 16001

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1777

Divisors: 1, 3, 9, 1777, 5331, 15993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111001111001

Octal: 37171

Duodecimal: 9309

Hexadecimal: 3e79

Square: 255776049

Square Root: 126.46343345014795

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

G.f. A(x) satisfies A(x) = 1 / (1 - x*(1 + x·A(x))³). A364742

Define a sequence of real numbers by b(1)=2, b(n+1) = b(n) + log₂(b(n)); a(n) = smallest i such that b(i) >= 2ⁿ. A229168

Numbers that are divisible by the product of their factorial base digits (A208575). A286590

Number of deterministic completely defined initially connected acyclic automata with 2 inputs and n+1 transient unlabeled states including a unique state having all transitions to the absorbing state. A82163

Number of compositions of n with first part 3 and no equal adjacent parts; this is column 3 of the array in A096568. A96571

Triangular matrix T, read by rows, that satisfies: T² + 2·T = SHIFTUP(T), also Tⁿ⁺¹ + 2·Tⁿ = SHIFTUP(Tⁿ - D·T^n-1) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}. A103236

The number of 321- and 2143-avoiding permutations of length n. A88921

Number of 2 X 2 nonsingular 0..n matrices with rows and columns in increasing order. A183762

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 633", based on the 5-celled von Neumann neighborhood. A273301

Number of nX7 0..1 arrays with every element unequal to 0, 1, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304930