Properties of the Number 4397

Four Thousand Three Hundred Ninety-Seven

Basics

Value: 4396 → 4397 → 4398

Parity: odd

Prime: Yes

Previous Prime: 4391

Next Prime: 4409

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 4397

Divisors: 1, 4397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100101101

Octal: 10455

Duodecimal: 2665

Hexadecimal: 112d

Square: 19333609

Square Root: 66.30987860040162

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Dispersion of the primes (an array read by downward antidiagonals). A114537

Primes > 1000 in which every substring of length 3 is also prime. A69489

Prime numbers > 1000 such that all the substrings of length >= 3 are primes (substrings with leading '0' are considered to be nonprime). A211685

Primes with indices that are primes with prime indices. A38580

Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k. A33548

Smallest prime of a triple of successive primes, where the middle one is the arithmetic mean of the other two. A122535

Number of subsets of {1...n} containing all prime indices of the elements. A324736

G.f. A(x) satisfies: x = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1) * A(x)ⁿ. A355357

Primes for which A049076 >= 4. A49090

Primes prime(k) for which A049076(k) = 4. A49080