3,716,736

2⁷ × 3 × 9679

Starting at 3,716,736, the Collatz iteration reaches 1 after 172 steps. The first transition is 1858368; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 9679

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,873,600

Proper Divisor Sum 6,156,864

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3716719 ← → #3716747

Radix Representation

Decimal	3716736
Binary	1110001011011010000000 (22 bits)
Octal	0o16133200
Hexadecimal	0x38B680

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 9,679 19,358 29,037 38,716 58,074 77,432 116,148 154,864 232,296 309,728 464,592 619,456 929,184 1,238,912 1,858,368 3,716,736

Collatz Trajectory (172 steps to reach 1)

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

3,716,736 1,858,368 929,184 464,592 232,296 116,148 58,074 29,037 87,112 43,556 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656

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