3,855,644

2² × 13 × 53 × 1399

Starting at 3,855,644, the Collatz iteration reaches 1 after 172 steps. The first transition is 1927822; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 53 × 1399

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,408,800

Proper Divisor Sum 3,553,156

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3855623 ← → #3855647

Radix Representation

Decimal	3855644
Binary	1110101101010100011100 (22 bits)
Octal	0o16552434
Hexadecimal	0x3AD51C

Divisor Catalog (24)

1 2 4 13 26 52 53 106 212 689 1,378 1,399 2,756 2,798 5,596 18,187 36,374 72,748 74,147 148,294 296,588 963,911 1,927,822 3,855,644

Collatz Trajectory (172 steps to reach 1)

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

3,855,644 1,927,822 963,911 2,891,734 1,445,867 4,337,602 2,168,801 6,506,404 3,253,202 1,626,601 4,879,804 2,439,902 1,219,951 3,659,854 1,829,927 5,489,782 2,744,891 8,234,674 4,117,337 12,352,012 6,176,006 3,088,003 9,264,010 4,632,005 13,896,016 6,948,008 3,474,004 1,737,002 868,501 2,605,504 1,302,752 651,376 325,688 162,844 81,422 40,711 122,134 61,067 183,202 91,601 274,804 137,402 68,701 206,104 103,052 51,526 25,763 77,290 38,645 115,936 57,968 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460

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