Properties of the Number 3427

Three Thousand Four Hundred Twenty-Seven

Basics

Value: 3426 → 3427 → 3428

Parity: odd

Prime: No

Previous Prime: 3413

Next Prime: 3433

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 23 × 149

Divisors: 1, 23, 149, 3427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100011

Octal: 6543

Duodecimal: 1B97

Hexadecimal: d63

Square: 11744329

Square Root: 58.540584213005594

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(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists. A38664

Fibonacci sequence beginning 1, 5. A22095

Expansion of 1/(1 - x² - x⁷ - x¹² + x¹⁴) (a Salem polynomial). A143619

a(n) = n*(3·n + 11)/2. A59845

Compound filter (prime signature & sum of the divisors): a(n) = P(A046523(n), A000203(n)), where P(n,k) is sequence A000027 used as a pairing function. A286360

Numbers that are the sum of six cubes in nine or more ways. A345518

Number of positive integers <= 10ⁿ that are divisible by no prime exceeding 7. A106600

Numbers n such that (n⁸⁹-1)/(n-1) is prime. A217088

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with each row and column prime, read as a base 3 number with top and left being the most significant digits. A262122

Numbers whose smallest prime factor is 23. A332797