3,687,885

3² × 5 × 81953

Starting at 3,687,885, the Collatz iteration reaches 1 after 203 steps. The first transition is 11063656; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 81953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,392,412

Proper Divisor Sum 2,704,527

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3687869 ← → #3687911

Radix Representation

Decimal	3687885
Binary	1110000100010111001101 (22 bits)
Octal	0o16042715
Hexadecimal	0x3845CD

Divisor Catalog (12)

1 3 5 9 15 45 81,953 245,859 409,765 737,577 1,229,295 3,687,885

Collatz Trajectory (203 steps to reach 1)

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

3,687,885 11,063,656 5,531,828 2,765,914 1,382,957 4,148,872 2,074,436 1,037,218 518,609 1,555,828 777,914 388,957 1,166,872 583,436 291,718 145,859 437,578 218,789 656,368 328,184 164,092 82,046 41,023 123,070 61,535 184,606 92,303 276,910 138,455 415,366 207,683 623,050 311,525 934,576 467,288 233,644 116,822 58,411 175,234 87,617 262,852 131,426 65,713 197,140 98,570 49,285 147,856 73,928 36,964 18,482 9,241 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899

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