6,166,625

5³ × 49333

Starting at 6,166,625, the Collatz iteration reaches 1 after 196 steps. The first transition is 18499876; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 49333

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,696,104

Proper Divisor Sum 1,529,479

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6166609 ← → #6166637

Radix Representation

Decimal	6166625
Binary	10111100001100001100001 (23 bits)
Octal	0o27414141
Hexadecimal	0x5E1861

Divisor Catalog (8)

1 5 25 125 49,333 246,665 1,233,325 6,166,625

Collatz Trajectory (196 steps to reach 1)

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

6,166,625 18,499,876 9,249,938 4,624,969 13,874,908 6,937,454 3,468,727 10,406,182 5,203,091 15,609,274 7,804,637 23,413,912 11,706,956 5,853,478 2,926,739 8,780,218 4,390,109 13,170,328 6,585,164 3,292,582 1,646,291 4,938,874 2,469,437 7,408,312 3,704,156 1,852,078 926,039 2,778,118 1,389,059 4,167,178 2,083,589 6,250,768 3,125,384 1,562,692 781,346 390,673 1,172,020 586,010 293,005 879,016 439,508 219,754 109,877 329,632 164,816 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520

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