1,746,372

2² × 3 × 145531

Starting at 1,746,372, the Collatz iteration reaches 1 after 145 steps. The first transition is 873186; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 145531

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,074,896

Proper Divisor Sum 2,328,524

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1746343 ← → #1746383

Radix Representation

Decimal	1746372
Binary	110101010010111000100 (21 bits)
Octal	0o6522704
Hexadecimal	0x1AA5C4

Divisor Catalog (12)

1 2 3 4 6 12 145,531 291,062 436,593 582,124 873,186 1,746,372

Collatz Trajectory (145 steps to reach 1)

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

1,746,372 873,186 436,593 1,309,780 654,890 327,445 982,336 491,168 245,584 122,792 61,396 30,698 15,349 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310

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