Properties of the Number 16349

Sixteen Thousand Three Hundred Forty-Nine

Basics

Value: 16348 → 16349 → 16350

Parity: odd

Prime: Yes

Previous Prime: 16339

Next Prime: 16361

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 16349

Divisors: 1, 16349

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111111011101

Octal: 37735

Duodecimal: 9565

Hexadecimal: 3fdd

Square: 267289801

Square Root: 127.8632081562167

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

Smallest prime factor of prime(n)! - prime(n)# + 1. A103856

Primes p such that x⁶¹ = 2 has no solution mod p. A59230

Primes p such that x⁶⁷ = 2 has no solution mod p. A59330

Primes such that successive differences are distinct palindromes. A87582

Primes p such that the p-1 digits of the binary expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1. A96339

Primes congruent to 25 mod 53. A142555

Primes congruent to 6 mod 59. A142733

Primes congruent to 1 mod 61. A212378

Number of pairs (λ,μ) of partitions λ of n and μ of eight with μ <= λ (by diagram containment). A303858

The smallest prime that becomes 2·prime(n), when all the bits in its binary expansion are inverted, or -1 if no such prime exists. A339268