3,771,572

2² × 7 × 134699

Starting at 3,771,572, the Collatz iteration reaches 1 after 172 steps. The first transition is 1885786; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 134699

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,543,200

Proper Divisor Sum 3,771,628

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3771529 ← → #3771577

Radix Representation

Decimal	3771572
Binary	1110011000110010110100 (22 bits)
Octal	0o16306264
Hexadecimal	0x398CB4

Divisor Catalog (12)

1 2 4 7 14 28 134,699 269,398 538,796 942,893 1,885,786 3,771,572

Collatz Trajectory (172 steps to reach 1)

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

3,771,572 1,885,786 942,893 2,828,680 1,414,340 707,170 353,585 1,060,756 530,378 265,189 795,568 397,784 198,892 99,446 49,723 149,170 74,585 223,756 111,878 55,939 167,818 83,909 251,728 125,864 62,932 31,466 15,733 47,200 23,600 11,800 5,900 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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