3,854,282

2 × 47 × 131 × 313

Starting at 3,854,282, the Collatz iteration reaches 1 after 216 steps. The first transition is 1927141; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 47 × 131 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,968,512

Proper Divisor Sum 2,114,230

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3854281 ← → #3854297

Radix Representation

Decimal	3854282
Binary	1110101100111111001010 (22 bits)
Octal	0o16547712
Hexadecimal	0x3ACFCA

Divisor Catalog (16)

1 2 47 94 131 262 313 626 6,157 12,314 14,711 29,422 41,003 82,006 1,927,141 3,854,282

Collatz Trajectory (216 steps to reach 1)

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

3,854,282 1,927,141 5,781,424 2,890,712 1,445,356 722,678 361,339 1,084,018 542,009 1,626,028 813,014 406,507 1,219,522 609,761 1,829,284 914,642 457,321 1,371,964 685,982 342,991 1,028,974 514,487 1,543,462 771,731 2,315,194 1,157,597 3,472,792 1,736,396 868,198 434,099 1,302,298 651,149 1,953,448 976,724 488,362 244,181 732,544 366,272 183,136 91,568 45,784 22,892 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452

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