1,932,600

2³ × 3 × 5² × 3221

Starting at 1,932,600, the Collatz iteration reaches 1 after 215 steps. The first transition is 966300; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 3221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,992,920

Proper Divisor Sum 4,060,320

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1932599 ← → #1932631

Radix Representation

Decimal	1932600
Binary	111010111110100111000 (21 bits)
Octal	0o7276470
Hexadecimal	0x1D7D38

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3,221 6,442 9,663 12,884 16,105 19,326 25,768 32,210 38,652 48,315 64,420 77,304 80,525 96,630 128,840 161,050 193,260 241,575 322,100 386,520 483,150 644,200 966,300 1,932,600

Collatz Trajectory (215 steps to reach 1)

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

1,932,600 966,300 483,150 241,575 724,726 362,363 1,087,090 543,545 1,630,636 815,318 407,659 1,222,978 611,489 1,834,468 917,234 458,617 1,375,852 687,926 343,963 1,031,890 515,945 1,547,836 773,918 386,959 1,160,878 580,439 1,741,318 870,659 2,611,978 1,305,989 3,917,968 1,958,984 979,492 489,746 244,873 734,620 367,310 183,655 550,966 275,483 826,450 413,225 1,239,676 619,838 309,919 929,758 464,879 1,394,638 697,319 2,091,958 1,045,979 3,137,938 1,568,969 4,706,908 2,353,454 1,176,727 3,530,182 1,765,091 5,295,274 2,647,637

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