8,684,225

5² × 11 × 23 × 1373

Starting at 8,684,225, the Collatz iteration reaches 1 after 67 steps. The first transition is 26052676; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 23 × 1373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,267,072

Proper Divisor Sum 3,582,847

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8684213 ← → #8684231

Radix Representation

Decimal	8684225
Binary	100001001000001011000001 (24 bits)
Octal	0o41101301
Hexadecimal	0x8482C1

Divisor Catalog (24)

1 5 11 23 25 55 115 253 275 575 1,265 1,373 6,325 6,865 15,103 31,579 34,325 75,515 157,895 347,369 377,575 789,475 1,736,845 8,684,225

Collatz Trajectory (67 steps to reach 1)

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

8,684,225 26,052,676 13,026,338 6,513,169 19,539,508 9,769,754 4,884,877 14,654,632 7,327,316 3,663,658 1,831,829 5,495,488 2,747,744 1,373,872 686,936 343,468 171,734 85,867 257,602 128,801 386,404 193,202 96,601 289,804 144,902 72,451 217,354 108,677 326,032 163,016 81,508 40,754 20,377 61,132 30,566 15,283 45,850 22,925 68,776 34,388 17,194 8,597 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256

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