6,637,422

2 × 3 × 11 × 19 × 67 × 79

Starting at 6,637,422, the Collatz iteration reaches 1 after 72 steps. The first transition is 3318711; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 19 × 67 × 79

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,667,200

Proper Divisor Sum 9,029,778

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6637399 ← → #6637439

Radix Representation

Decimal	6637422
Binary	11001010100011101101110 (23 bits)
Octal	0o31243556
Hexadecimal	0x65476E

Divisor Catalog (60 of 64)

1 2 3 6 11 19 22 33 38 57 66 67 79 114 134 158 201 209 237 402 418 474 627 737 869 1,254 1,273 1,474 1,501 1,738 2,211 2,546 2,607 3,002 3,819 4,422 4,503 5,214 5,293 7,638 9,006 10,586 14,003 15,879 16,511 28,006 31,758 33,022 42,009 49,533 58,223 84,018 99,066 100,567 116,446 174,669 201,134 301,701 349,338 603,402

Collatz Trajectory (72 steps to reach 1)

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

6,637,422 3,318,711 9,956,134 4,978,067 14,934,202 7,467,101 22,401,304 11,200,652 5,600,326 2,800,163 8,400,490 4,200,245 12,600,736 6,300,368 3,150,184 1,575,092 787,546 393,773 1,181,320 590,660 295,330 147,665 442,996 221,498 110,749 332,248 166,124 83,062 41,531 124,594 62,297 186,892 93,446 46,723 140,170 70,085 210,256 105,128 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34

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