3,764,488

2³ × 7 × 13 × 5171

Starting at 3,764,488, the Collatz iteration reaches 1 after 110 steps. The first transition is 1882244; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 5171

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,688,960

Proper Divisor Sum 4,924,472

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3764477 ← → #3764503

Radix Representation

Decimal	3764488
Binary	1110010111000100001000 (22 bits)
Octal	0o16270410
Hexadecimal	0x397108

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 5,171 10,342 20,684 36,197 41,368 67,223 72,394 134,446 144,788 268,892 289,576 470,561 537,784 941,122 1,882,244 3,764,488

Collatz Trajectory (110 steps to reach 1)

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

3,764,488 1,882,244 941,122 470,561 1,411,684 705,842 352,921 1,058,764 529,382 264,691 794,074 397,037 1,191,112 595,556 297,778 148,889 446,668 223,334 111,667 335,002 167,501 502,504 251,252 125,626 62,813 188,440 94,220 47,110 23,555 70,666 35,333 106,000 53,000 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982

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