Properties of the Number 10993

Ten Thousand Nine Hundred Ninety-Three

Basics

Value: 10992 → 10993 → 10994

Parity: odd

Prime: Yes

Previous Prime: 10987

Next Prime: 11003

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 10993

Divisors: 1, 10993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011110001

Octal: 25361

Duodecimal: 6441

Hexadecimal: 2af1

Square: 120846049

Square Root: 104.84750831564858

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

Expansion of 1/(1 - 3·x - x² + x³). A33505

Number of nX2 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A298215

Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries. A160500

a(n) is the smallest k such that (k³ + 1)/(n³ + 1) is an integer > 1. A65964

Primes congruent to 19 mod 31. A142023

Primes congruent to 4 mod 37. A142113

Primes p with prime(p) - p + 1 and p*(p+1) - prime(p) both prime. A235681

a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)). A262909

a(n) is the number of multisets of n decimal digits where the sum of the digits equals the product of the prime digits. A384445

First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap. A84160