3,679,716

2² × 3 × 306643

Starting at 3,679,716, the Collatz iteration reaches 1 after 221 steps. The first transition is 1839858; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 306643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,586,032

Proper Divisor Sum 4,906,316

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3679693 ← → #3679729

Radix Representation

Decimal	3679716
Binary	1110000010010111100100 (22 bits)
Octal	0o16022744
Hexadecimal	0x3825E4

Divisor Catalog (12)

1 2 3 4 6 12 306,643 613,286 919,929 1,226,572 1,839,858 3,679,716

Collatz Trajectory (221 steps to reach 1)

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

3,679,716 1,839,858 919,929 2,759,788 1,379,894 689,947 2,069,842 1,034,921 3,104,764 1,552,382 776,191 2,328,574 1,164,287 3,492,862 1,746,431 5,239,294 2,619,647 7,858,942 3,929,471 11,788,414 5,894,207 17,682,622 8,841,311 26,523,934 13,261,967 39,785,902 19,892,951 59,678,854 29,839,427 89,518,282 44,759,141 134,277,424 67,138,712 33,569,356 16,784,678 8,392,339 25,177,018 12,588,509 37,765,528 18,882,764 9,441,382 4,720,691 14,162,074 7,081,037 21,243,112 10,621,556 5,310,778 2,655,389 7,966,168 3,983,084 1,991,542 995,771 2,987,314 1,493,657 4,480,972 2,240,486 1,120,243 3,360,730 1,680,365 5,041,096

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