Properties of the Number 42397

Forty-Two Thousand Three Hundred Ninety-Seven

Basics

Value: 42396 → 42397 → 42398

Parity: odd

Prime: Yes

Previous Prime: 42391

Next Prime: 42403

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 42397

Divisors: 1, 42397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010110011101

Octal: 122635

Duodecimal: 20651

Hexadecimal: a59d

Square: 1797505609

Square Root: 205.90531804691204

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 term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642]. A78855

Smaller member p of a pair (p,p+6) of consecutive primes in different centuries. A160370

Sum of the third largest parts in the partitions of n into 8 parts. A308996

Middle of 3 consecutive prime numbers such that p1·p2·p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (δ) = p2 - p1, d2 (δ) = p3 - p2. A153404

Least k such that the first k terms of A006928 contain n more 2's than 1's. A25507

Indices in A006928 where the imbalance between 1's and 2's sets a new record. A274775

Primes p such that (p²⁵⁶ + 1)/2 is prime. A341234

Number of pairs (λ,μ) of partitions λ of n and μ of 10 with μ <= λ (by diagram containment). A303860

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 355", based on the 5-celled von Neumann neighborhood. A271399

Primes p such that p² - 8, p² - 6 and p² - 2 are prime. A176960