2,201,738

2 × 7 × 11 × 17 × 29²

Starting at 2,201,738, the Collatz iteration reaches 1 after 86 steps. The first transition is 1100869; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 17 × 29^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,515,264

Proper Divisor Sum 2,313,526

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2201737 ← → #2201743

Radix Representation

Decimal	2201738
Binary	1000011001100010001010 (22 bits)
Octal	0o10314212
Hexadecimal	0x21988A

Divisor Catalog (48)

1 2 7 11 14 17 22 29 34 58 77 119 154 187 203 238 319 374 406 493 638 841 986 1,309 1,682 2,233 2,618 3,451 4,466 5,423 5,887 6,902 9,251 10,846 11,774 14,297 18,502 28,594 37,961 64,757 75,922 100,079 129,514 157,267 200,158 314,534 1,100,869 2,201,738

Collatz Trajectory (86 steps to reach 1)

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

2,201,738 1,100,869 3,302,608 1,651,304 825,652 412,826 206,413 619,240 309,620 154,810 77,405 232,216 116,108 58,054 29,027 87,082 43,541 130,624 65,312 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65

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