3,684,814

2 × 7 × 263201

Starting at 3,684,814, the Collatz iteration reaches 1 after 203 steps. The first transition is 1842407; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 263201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,316,848

Proper Divisor Sum 2,632,034

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3684809 ← → #3684833

Radix Representation

Decimal	3684814
Binary	1110000011100111001110 (22 bits)
Octal	0o16034716
Hexadecimal	0x3839CE

Divisor Catalog (8)

1 2 7 14 263,201 526,402 1,842,407 3,684,814

Collatz Trajectory (203 steps to reach 1)

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

3,684,814 1,842,407 5,527,222 2,763,611 8,290,834 4,145,417 12,436,252 6,218,126 3,109,063 9,327,190 4,663,595 13,990,786 6,995,393 20,986,180 10,493,090 5,246,545 15,739,636 7,869,818 3,934,909 11,804,728 5,902,364 2,951,182 1,475,591 4,426,774 2,213,387 6,640,162 3,320,081 9,960,244 4,980,122 2,490,061 7,470,184 3,735,092 1,867,546 933,773 2,801,320 1,400,660 700,330 350,165 1,050,496 525,248 262,624 131,312 65,656 32,828 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896

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