3,638,340

2² × 3² × 5 × 17 × 29 × 41

Starting at 3,638,340, the Collatz iteration reaches 1 after 203 steps. The first transition is 1819170; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 29 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 12,383,280

Proper Divisor Sum 8,744,940

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3638333 ← → #3638351

Radix Representation

Decimal	3638340
Binary	1101111000010001000100 (22 bits)
Octal	0o15702104
Hexadecimal	0x378444

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 41 45 51 58 60 68 82 85 87 90 102 116 123 145 153 164 170 174 180 204 205 246 255 261 290 306 340 348 369 410 435 492 493 510 522 580 612 615 697 738 765 820 870

Collatz Trajectory (203 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,638,340 1,819,170 909,585 2,728,756 1,364,378 682,189 2,046,568 1,023,284 511,642 255,821 767,464 383,732 191,866 95,933 287,800 143,900 71,950 35,975 107,926 53,963 161,890 80,945 242,836 121,418 60,709 182,128 91,064 45,532 22,766 11,383 34,150 17,075 51,226 25,613 76,840 38,420 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851

← Previous Integer #3,638,339 Browse Full Index Next Integer #3,638,341 →