1,067,814

2 × 3² × 11 × 5393

Starting at 1,067,814, the Collatz iteration reaches 1 after 121 steps. The first transition is 533907; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 5393

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,524,392

Proper Divisor Sum 1,456,578

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1067797 ← → #1067831

Radix Representation

Decimal	1067814
Binary	100000100101100100110 (21 bits)
Octal	0o4045446
Hexadecimal	0x104B26

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 5,393 10,786 16,179 32,358 48,537 59,323 97,074 118,646 177,969 355,938 533,907 1,067,814

Collatz Trajectory (121 steps to reach 1)

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

1,067,814 533,907 1,601,722 800,861 2,402,584 1,201,292 600,646 300,323 900,970 450,485 1,351,456 675,728 337,864 168,932 84,466 42,233 126,700 63,350 31,675 95,026 47,513 142,540 71,270 35,635 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133

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