Properties of the Number 42658

Forty-Two Thousand Six Hundred Fifty-Eight

Basics

Value: 42657 → 42658 → 42659

Parity: even

Prime: No

Previous Prime: 42649

Next Prime: 42667

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 11 × 277

Divisors: 1, 2, 7, 11, 14, 22, 77, 154, 277, 554

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011010100010

Octal: 123242

Duodecimal: 2082A

Hexadecimal: a6a2

Square: 1819704964

Square Root: 206.53813207250616

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

Euler transform of A051064, the ruler function sequence for k=3. A173241

Numerators of continued fraction convergents to sqrt(485). A41924

Number of nX4 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240758

Number of length n+3 0..2 arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. A250381

Number of nX4 0..1 arrays with every element equal to 2, 3 or 5 king-move adjacent elements, with upper left element zero. A297872

Smallest starting·which reaches the Antihydra halting condition for the first time at 3·n+1 terms of the iteration x -> floor(3·x/2). A385150

a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), m=[ (n+1)/2 ], T given by A026747. A26869

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 0, -1), (1, 0, 1), (1, 1, -1)}. A149352

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240760

Numerators of continued fraction convergents to sqrt(859). A42658