3,851,136

2⁷ × 3² × 3343

Starting at 3,851,136, the Collatz iteration reaches 1 after 97 steps. The first transition is 1925568; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 3343

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,085,360

Proper Divisor Sum 7,234,224

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3851101 ← → #3851147

Radix Representation

Decimal	3851136
Binary	1110101100001110000000 (22 bits)
Octal	0o16541600
Hexadecimal	0x3AC380

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1,152 3,343 6,686 10,029 13,372 20,058 26,744 30,087 40,116 53,488 60,174 80,232 106,976 120,348 160,464 213,952 240,696 320,928 427,904 481,392 641,856 962,784 1,283,712 1,925,568 3,851,136

Collatz Trajectory (97 steps to reach 1)

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

3,851,136 1,925,568 962,784 481,392 240,696 120,348 60,174 30,087 90,262 45,131 135,394 67,697 203,092 101,546 50,773 152,320 76,160 38,080 19,040 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 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102

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