8,971,275

3 × 5² × 119617

Starting at 8,971,275, the Collatz iteration reaches 1 after 137 steps. The first transition is 26913826; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 119617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,832,632

Proper Divisor Sum 5,861,357

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8971271 ← → #8971283

Radix Representation

Decimal	8971275
Binary	100010001110010000001011 (24 bits)
Octal	0o42162013
Hexadecimal	0x88E40B

Divisor Catalog (12)

1 3 5 15 25 75 119,617 358,851 598,085 1,794,255 2,990,425 8,971,275

Collatz Trajectory (137 steps to reach 1)

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

8,971,275 26,913,826 13,456,913 40,370,740 20,185,370 10,092,685 30,278,056 15,139,028 7,569,514 3,784,757 11,354,272 5,677,136 2,838,568 1,419,284 709,642 354,821 1,064,464 532,232 266,116 133,058 66,529 199,588 99,794 49,897 149,692 74,846 37,423 112,270 56,135 168,406 84,203 252,610 126,305 378,916 189,458 94,729 284,188 142,094 71,047 213,142 106,571 319,714 159,857 479,572 239,786 119,893 359,680 179,840 89,920 44,960 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582

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