3,200,725

5² × 11 × 103 × 113

Starting at 3,200,725, the Collatz iteration reaches 1 after 195 steps. The first transition is 9602176; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 103 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,410,432

Proper Divisor Sum 1,209,707

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3200689 ← → #3200737

Radix Representation

Decimal	3200725
Binary	1100001101011011010101 (22 bits)
Octal	0o14153325
Hexadecimal	0x30D6D5

Divisor Catalog (24)

Collatz Trajectory (195 steps to reach 1)

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

3,200,725 9,602,176 4,801,088 2,400,544 1,200,272 600,136 300,068 150,034 75,017 225,052 112,526 56,263 168,790 84,395 253,186 126,593 379,780 189,890 94,945 284,836 142,418 71,209 213,628 106,814 53,407 160,222 80,111 240,334 120,167 360,502 180,251 540,754 270,377 811,132 405,566 202,783 608,350 304,175 912,526 456,263 1,368,790 684,395 2,053,186 1,026,593 3,079,780 1,539,890 769,945 2,309,836 1,154,918 577,459 1,732,378 866,189 2,598,568 1,299,284 649,642 324,821 974,464 487,232 243,616 121,808

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