8,854,250

2 × 5³ × 107 × 331

Starting at 8,854,250, the Collatz iteration reaches 1 after 168 steps. The first transition is 4427125; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 107 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,780,608

Proper Divisor Sum 7,926,358

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8854249 ← → #8854253

Radix Representation

Decimal	8854250
Binary	100001110001101011101010 (24 bits)
Octal	0o41615352
Hexadecimal	0x871AEA

Divisor Catalog (32)

1 2 5 10 25 50 107 125 214 250 331 535 662 1,070 1,655 2,675 3,310 5,350 8,275 13,375 16,550 26,750 35,417 41,375 70,834 82,750 177,085 354,170 885,425 1,770,850 4,427,125 8,854,250

Collatz Trajectory (168 steps to reach 1)

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

8,854,250 4,427,125 13,281,376 6,640,688 3,320,344 1,660,172 830,086 415,043 1,245,130 622,565 1,867,696 933,848 466,924 233,462 116,731 350,194 175,097 525,292 262,646 131,323 393,970 196,985 590,956 295,478 147,739 443,218 221,609 664,828 332,414 166,207 498,622 249,311 747,934 373,967 1,121,902 560,951 1,682,854 841,427 2,524,282 1,262,141 3,786,424 1,893,212 946,606 473,303 1,419,910 709,955 2,129,866 1,064,933 3,194,800 1,597,400 798,700 399,350 199,675 599,026 299,513 898,540 449,270 224,635 673,906 336,953

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