8,676,225

3² × 5² × 38561

Starting at 8,676,225, the Collatz iteration reaches 1 after 212 steps. The first transition is 26028676; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 38561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 15,540,486

Proper Divisor Sum 6,864,261

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8676223 ← → #8676229

Radix Representation

Decimal	8676225
Binary	100001000110001110000001 (24 bits)
Octal	0o41061601
Hexadecimal	0x846381

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 38,561 115,683 192,805 347,049 578,415 964,025 1,735,245 2,892,075 8,676,225

Collatz Trajectory (212 steps to reach 1)

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

8,676,225 26,028,676 13,014,338 6,507,169 19,521,508 9,760,754 4,880,377 14,641,132 7,320,566 3,660,283 10,980,850 5,490,425 16,471,276 8,235,638 4,117,819 12,353,458 6,176,729 18,530,188 9,265,094 4,632,547 13,897,642 6,948,821 20,846,464 10,423,232 5,211,616 2,605,808 1,302,904 651,452 325,726 162,863 488,590 244,295 732,886 366,443 1,099,330 549,665 1,648,996 824,498 412,249 1,236,748 618,374 309,187 927,562 463,781 1,391,344 695,672 347,836 173,918 86,959 260,878 130,439 391,318 195,659 586,978 293,489 880,468 440,234 220,117 660,352 330,176

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