Properties of the Number 4909

Four Thousand Nine Hundred Nine

Basics

Value: 4908 → 4909 → 4910

Parity: odd

Prime: Yes

Previous Prime: 4903

Next Prime: 4919

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 4909

Divisors: 1, 4909

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100101101

Octal: 11455

Duodecimal: 2A11

Hexadecimal: 132d

Square: 24098281

Square Root: 70.06425622241343

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

Primes p such that a pure prime power occurs between p and the next prime. A53607

Primes that do not contain any other prime as a proper substring. A33274

Lower prime of a difference of 10 between consecutive primes. A31928

Indices of zeros of the sequence u(n)=abs(u(n-1)-gcd(u(n-1),n-1)), u(1)=1. A186253

Primes p such that the multiplicative order of 2 modulo p is (p-1)/3. A1133

Value of D for incrementally largest values of minimal·satisfying Pell equation x²-Dy²=1. A33316

a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 5. A214827

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222906

Sum over all partitions λ of n of binomial(|λ|, |{λ}|). A339006

Primes p whose period of the reciprocal 1/p is (p-1)/3. A55628