Properties of the Number 4127

Four Thousand One Hundred Twenty-Seven

Basics

Value: 4126 → 4127 → 4128

Parity: odd

Prime: Yes

Previous Prime: 4111

Next Prime: 4129

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 4127

Divisors: 1, 4127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000011111

Octal: 10037

Duodecimal: 247B

Hexadecimal: 101f

Square: 17032129

Square Root: 64.24173098539609

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

Initial members of prime triples (p, p+2, p+6). A22004

a(n) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

Number of integer partitions of n with no adjacent parts having quotient >= 2. A342096

Primes from merging of 4 successive digits in decimal expansion of π. A104824

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern. A78847

Primes with first digit 4. A45710

Safe primes (A005385) that are not Sophie Germain primes. A59452

Primes congruent to 31 mod 32. A127578

Primes of the form m = 2ⁱ + 2^j - 1, where i > j >= 0. A239712

a(n) = smallest number that leads to a new fixed point under the base-2 Kaprekar map of A164884. A164887