5,117,080

2³ × 5 × 19 × 6733

Starting at 5,117,080, the Collatz iteration reaches 1 after 100 steps. The first transition is 2558540; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 6733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,121,200

Proper Divisor Sum 7,004,120

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #5117071 ← → #5117083

Radix Representation

Decimal	5117080
Binary	10011100001010010011000 (23 bits)
Octal	0o23412230
Hexadecimal	0x4E1498

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 6,733 13,466 26,932 33,665 53,864 67,330 127,927 134,660 255,854 269,320 511,708 639,635 1,023,416 1,279,270 2,558,540 5,117,080

Collatz Trajectory (100 steps to reach 1)

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

5,117,080 2,558,540 1,279,270 639,635 1,918,906 959,453 2,878,360 1,439,180 719,590 359,795 1,079,386 539,693 1,619,080 809,540 404,770 202,385 607,156 303,578 151,789 455,368 227,684 113,842 56,921 170,764 85,382 42,691 128,074 64,037 192,112 96,056 48,028 24,014 12,007 36,022 18,011 54,034 27,017 81,052 40,526 20,263 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410

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