3,829,148

2² × 17 × 56311

Starting at 3,829,148, the Collatz iteration reaches 1 after 216 steps. The first transition is 1914574; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 56311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,095,312

Proper Divisor Sum 3,266,164

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3829141 ← → #3829157

Radix Representation

Decimal	3829148
Binary	1110100110110110011100 (22 bits)
Octal	0o16466634
Hexadecimal	0x3A6D9C

Divisor Catalog (12)

1 2 4 17 34 68 56,311 112,622 225,244 957,287 1,914,574 3,829,148

Collatz Trajectory (216 steps to reach 1)

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

3,829,148 1,914,574 957,287 2,871,862 1,435,931 4,307,794 2,153,897 6,461,692 3,230,846 1,615,423 4,846,270 2,423,135 7,269,406 3,634,703 10,904,110 5,452,055 16,356,166 8,178,083 24,534,250 12,267,125 36,801,376 18,400,688 9,200,344 4,600,172 2,300,086 1,150,043 3,450,130 1,725,065 5,175,196 2,587,598 1,293,799 3,881,398 1,940,699 5,822,098 2,911,049 8,733,148 4,366,574 2,183,287 6,549,862 3,274,931 9,824,794 4,912,397 14,737,192 7,368,596 3,684,298 1,842,149 5,526,448 2,763,224 1,381,612 690,806 345,403 1,036,210 518,105 1,554,316 777,158 388,579 1,165,738 582,869 1,748,608 874,304

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