3,510,625

5⁴ × 41 × 137

Starting at 3,510,625, the Collatz iteration reaches 1 after 71 steps. The first transition is 10531876; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 5^4 × 41 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,526,676

Proper Divisor Sum 1,016,051

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3510623 ← → #3510629

Radix Representation

Decimal	3510625
Binary	1101011001000101100001 (22 bits)
Octal	0o15310541
Hexadecimal	0x359161

Divisor Catalog (20)

1 5 25 41 125 137 205 625 685 1,025 3,425 5,125 5,617 17,125 25,625 28,085 85,625 140,425 702,125 3,510,625

Collatz Trajectory (71 steps to reach 1)

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

3,510,625 10,531,876 5,265,938 2,632,969 7,898,908 3,949,454 1,974,727 5,924,182 2,962,091 8,886,274 4,443,137 13,329,412 6,664,706 3,332,353 9,997,060 4,998,530 2,499,265 7,497,796 3,748,898 1,874,449 5,623,348 2,811,674 1,405,837 4,217,512 2,108,756 1,054,378 527,189 1,581,568 790,784 395,392 197,696 98,848 49,424 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106

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