6,377,645

5 × 73 × 101 × 173

Starting at 6,377,645, the Collatz iteration reaches 1 after 196 steps. The first transition is 19132936; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 73 × 101 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,880,112

Proper Divisor Sum 1,502,467

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6377641 ← → #6377689

Radix Representation

Decimal	6377645
Binary	11000010101000010101101 (23 bits)
Octal	0o30250255
Hexadecimal	0x6150AD

Divisor Catalog (16)

1 5 73 101 173 365 505 865 7,373 12,629 17,473 36,865 63,145 87,365 1,275,529 6,377,645

Collatz Trajectory (196 steps to reach 1)

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

6,377,645 19,132,936 9,566,468 4,783,234 2,391,617 7,174,852 3,587,426 1,793,713 5,381,140 2,690,570 1,345,285 4,035,856 2,017,928 1,008,964 504,482 252,241 756,724 378,362 189,181 567,544 283,772 141,886 70,943 212,830 106,415 319,246 159,623 478,870 239,435 718,306 359,153 1,077,460 538,730 269,365 808,096 404,048 202,024 101,012 50,506 25,253 75,760 37,880 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459

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