3,806,898

2 × 3 × 634483

Starting at 3,806,898, the Collatz iteration reaches 1 after 172 steps. The first transition is 1903449; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 634483

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,613,808

Proper Divisor Sum 3,806,910

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3806867 ← → #3806903

Radix Representation

Decimal	3806898
Binary	1110100001011010110010 (22 bits)
Octal	0o16413262
Hexadecimal	0x3A16B2

Divisor Catalog (8)

1 2 3 6 634,483 1,268,966 1,903,449 3,806,898

Collatz Trajectory (172 steps to reach 1)

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

3,806,898 1,903,449 5,710,348 2,855,174 1,427,587 4,282,762 2,141,381 6,424,144 3,212,072 1,606,036 803,018 401,509 1,204,528 602,264 301,132 150,566 75,283 225,850 112,925 338,776 169,388 84,694 42,347 127,042 63,521 190,564 95,282 47,641 142,924 71,462 35,731 107,194 53,597 160,792 80,396 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674

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