3,817,071

3³ × 109 × 1297

Starting at 3,817,071, the Collatz iteration reaches 1 after 247 steps. The first transition is 11451214; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 109 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,711,200

Proper Divisor Sum 1,894,129

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3817063 ← → #3817111

Radix Representation

Decimal	3817071
Binary	1110100011111001101111 (22 bits)
Octal	0o16437157
Hexadecimal	0x3A3E6F

Divisor Catalog (16)

1 3 9 27 109 327 981 1,297 2,943 3,891 11,673 35,019 141,373 424,119 1,272,357 3,817,071

Collatz Trajectory (247 steps to reach 1)

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

3,817,071 11,451,214 5,725,607 17,176,822 8,588,411 25,765,234 12,882,617 38,647,852 19,323,926 9,661,963 28,985,890 14,492,945 43,478,836 21,739,418 10,869,709 32,609,128 16,304,564 8,152,282 4,076,141 12,228,424 6,114,212 3,057,106 1,528,553 4,585,660 2,292,830 1,146,415 3,439,246 1,719,623 5,158,870 2,579,435 7,738,306 3,869,153 11,607,460 5,803,730 2,901,865 8,705,596 4,352,798 2,176,399 6,529,198 3,264,599 9,793,798 4,896,899 14,690,698 7,345,349 22,036,048 11,018,024 5,509,012 2,754,506 1,377,253 4,131,760 2,065,880 1,032,940 516,470 258,235 774,706 387,353 1,162,060 581,030 290,515 871,546

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