Properties of the Number 33827

Thirty-Three Thousand Eight Hundred Twenty-Seven

Basics

Value: 33826 → 33827 → 33828

Parity: odd

Prime: Yes

Previous Prime: 33811

Next Prime: 33829

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 33827

Divisors: 1, 33827

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010000100011

Octal: 102043

Duodecimal: 176AB

Hexadecimal: 8423

Square: 1144265929

Square Root: 183.92117876960228

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

Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6·n. A52350

Primes that are palindromic in base 13. A29980

Number of maximal subsets of {1..n} containing no sums or products of distinct elements. A326025

Primes p such that p² = π(x³) + π(y³) for some positive integers·and y, where π(m) denotes the number of primes not exceeding m. A262730

Primes p_n such that n·p_n is a palindrome. A84121

Primes of the form 2^x+2·x+y+2^y, with·and y integers of any sign. A162575

Primes p such that 2^j+p^j are primes for j=0,1,4,32. A94489

n times π(n) is a palindrome, where π(n) = PrimePi(n) = A000720(n). A116054

Primes p such that p+2, 3·p+2 and 3·p+8 are also primes. A278138

a(1) = 3. For n > 1, Ulam's spiral is started with a(n-1), and the primes p on the NE spoke are considered. a(n) is the minimal p that is the lesser of a twin prime pair. A163586