6,617,475

3² × 5² × 29411

Starting at 6,617,475, the Collatz iteration reaches 1 after 147 steps. The first transition is 19852426; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 29411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,853,036

Proper Divisor Sum 5,235,561

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6617473 ← → #6617483

Radix Representation

Decimal	6617475
Binary	11001001111100110000011 (23 bits)
Octal	0o31174603
Hexadecimal	0x64F983

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 29,411 88,233 147,055 264,699 441,165 735,275 1,323,495 2,205,825 6,617,475

Collatz Trajectory (147 steps to reach 1)

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

6,617,475 19,852,426 9,926,213 29,778,640 14,889,320 7,444,660 3,722,330 1,861,165 5,583,496 2,791,748 1,395,874 697,937 2,093,812 1,046,906 523,453 1,570,360 785,180 392,590 196,295 588,886 294,443 883,330 441,665 1,324,996 662,498 331,249 993,748 496,874 248,437 745,312 372,656 186,328 93,164 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975

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