3,802,490

2 × 5 × 37 × 43 × 239

Starting at 3,802,490, the Collatz iteration reaches 1 after 322 steps. The first transition is 1901245; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 43 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,223,040

Proper Divisor Sum 3,420,550

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3802483 ← → #3802493

Radix Representation

Decimal	3802490
Binary	1110100000010101111010 (22 bits)
Octal	0o16402572
Hexadecimal	0x3A057A

Divisor Catalog (32)

1 2 5 10 37 43 74 86 185 215 239 370 430 478 1,195 1,591 2,390 3,182 7,955 8,843 10,277 15,910 17,686 20,554 44,215 51,385 88,430 102,770 380,249 760,498 1,901,245 3,802,490

Collatz Trajectory (322 steps to reach 1)

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

3,802,490 1,901,245 5,703,736 2,851,868 1,425,934 712,967 2,138,902 1,069,451 3,208,354 1,604,177 4,812,532 2,406,266 1,203,133 3,609,400 1,804,700 902,350 451,175 1,353,526 676,763 2,030,290 1,015,145 3,045,436 1,522,718 761,359 2,284,078 1,142,039 3,426,118 1,713,059 5,139,178 2,569,589 7,708,768 3,854,384 1,927,192 963,596 481,798 240,899 722,698 361,349 1,084,048 542,024 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238

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