9,821,250

2 × 3⁴ × 5⁴ × 97

Starting at 9,821,250, the Collatz iteration reaches 1 after 207 steps. The first transition is 4910625; the starting value is even with 100 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 5^4 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 27,783,294

Proper Divisor Sum 17,962,044

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9821219 ← → #9821281

Radix Representation

Decimal	9821250
Binary	100101011101110001000010 (24 bits)
Octal	0o45356102
Hexadecimal	0x95DC42

Divisor Catalog (60 of 100)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 97 125 135 150 162 194 225 250 270 291 375 405 450 485 582 625 675 750 810 873 970 1,125 1,250 1,350 1,455 1,746 1,875 2,025 2,250 2,425 2,619 2,910 3,375 3,750 4,050 4,365 4,850 5,238 5,625 6,750 7,275 7,857

Collatz Trajectory (207 steps to reach 1)

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

9,821,250 4,910,625 14,731,876 7,365,938 3,682,969 11,048,908 5,524,454 2,762,227 8,286,682 4,143,341 12,430,024 6,215,012 3,107,506 1,553,753 4,661,260 2,330,630 1,165,315 3,495,946 1,747,973 5,243,920 2,621,960 1,310,980 655,490 327,745 983,236 491,618 245,809 737,428 368,714 184,357 553,072 276,536 138,268 69,134 34,567 103,702 51,851 155,554 77,777 233,332 116,666 58,333 175,000 87,500 43,750 21,875 65,626 32,813 98,440 49,220 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384

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