8,707,221

3² × 29 × 73 × 457

Starting at 8,707,221, the Collatz iteration reaches 1 after 181 steps. The first transition is 26121664; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 73 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,217,880

Proper Divisor Sum 4,510,659

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8707219 ← → #8707241

Radix Representation

Decimal	8707221
Binary	100001001101110010010101 (24 bits)
Octal	0o41156225
Hexadecimal	0x84DC95

Divisor Catalog (24)

1 3 9 29 73 87 219 261 457 657 1,371 2,117 4,113 6,351 13,253 19,053 33,361 39,759 100,083 119,277 300,249 967,469 2,902,407 8,707,221

Collatz Trajectory (181 steps to reach 1)

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

8,707,221 26,121,664 13,060,832 6,530,416 3,265,208 1,632,604 816,302 408,151 1,224,454 612,227 1,836,682 918,341 2,755,024 1,377,512 688,756 344,378 172,189 516,568 258,284 129,142 64,571 193,714 96,857 290,572 145,286 72,643 217,930 108,965 326,896 163,448 81,724 40,862 20,431 61,294 30,647 91,942 45,971 137,914 68,957 206,872 103,436 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240

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