8,412,875

5³ × 17 × 37 × 107

Starting at 8,412,875, the Collatz iteration reaches 1 after 230 steps. The first transition is 25238626; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 17 × 37 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,524,032

Proper Divisor Sum 3,111,157

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8412857 ← → #8412881

Radix Representation

Decimal	8412875
Binary	100000000101111011001011 (24 bits)
Octal	0o40057313
Hexadecimal	0x805ECB

Divisor Catalog (32)

1 5 17 25 37 85 107 125 185 425 535 629 925 1,819 2,125 2,675 3,145 3,959 4,625 9,095 13,375 15,725 19,795 45,475 67,303 78,625 98,975 227,375 336,515 494,875 1,682,575 8,412,875

Collatz Trajectory (230 steps to reach 1)

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

8,412,875 25,238,626 12,619,313 37,857,940 18,928,970 9,464,485 28,393,456 14,196,728 7,098,364 3,549,182 1,774,591 5,323,774 2,661,887 7,985,662 3,992,831 11,978,494 5,989,247 17,967,742 8,983,871 26,951,614 13,475,807 40,427,422 20,213,711 60,641,134 30,320,567 90,961,702 45,480,851 136,442,554 68,221,277 204,663,832 102,331,916 51,165,958 25,582,979 76,748,938 38,374,469 115,123,408 57,561,704 28,780,852 14,390,426 7,195,213 21,585,640 10,792,820 5,396,410 2,698,205 8,094,616 4,047,308 2,023,654 1,011,827 3,035,482 1,517,741 4,553,224 2,276,612 1,138,306 569,153 1,707,460 853,730 426,865 1,280,596 640,298 320,149

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