Properties of the Number 19333

Nineteen Thousand Three Hundred Thirty-Three

Basics

Value: 19332 → 19333 → 19334

Parity: odd

Prime: Yes

Previous Prime: 19319

Next Prime: 19373

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 19333

Divisors: 1, 19333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101110000101

Octal: 45605

Duodecimal: B231

Hexadecimal: 4b85

Square: 373764889

Square Root: 139.04315876734103

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(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Number of rooted trees with n nodes with every leaf at the same height. A48816

Class 6+ primes. A81634

Primes containing the string 333. A166581

a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist). A168253

Primes p such that q-p = 40, where q is the next prime after p. A126721

Irregular triangle, read by rows, of primes with prefix n and digits "3" appended, otherwise 0. A185684

Primes p such that p² + 4 and p² + 10 are also primes. A237890

a(0)=1, a(1)=1, a(n)=7·a(n/2) for n=2,4,6,..., a(n)=6·a((n-1)/2)+a((n+1)/2) for n=3,5,7,.... A116522

First occurrence of prime gap 10·n. A140791