3,605,700

2² × 3 × 5² × 7 × 17 × 101

Starting at 3,605,700, the Collatz iteration reaches 1 after 115 steps. The first transition is 1802850; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 17 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 12,749,184

Proper Divisor Sum 9,143,484

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3605671 ← → #3605711

Radix Representation

Decimal	3605700
Binary	1101110000010011000100 (22 bits)
Octal	0o15602304
Hexadecimal	0x3704C4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 101 102 105 119 140 150 170 175 202 204 210 238 255 300 303 340 350 357 404 420 425 476 505 510 525 595 606 700 707 714 850

Collatz Trajectory (115 steps to reach 1)

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

3,605,700 1,802,850 901,425 2,704,276 1,352,138 676,069 2,028,208 1,014,104 507,052 253,526 126,763 380,290 190,145 570,436 285,218 142,609 427,828 213,914 106,957 320,872 160,436 80,218 40,109 120,328 60,164 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

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