8,188,950

2 × 3 × 5² × 7 × 11 × 709

Starting at 8,188,950, the Collatz iteration reaches 1 after 168 steps. The first transition is 4094475; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 11 × 709

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,355,520

Proper Divisor Sum 17,166,570

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8188949 ← → #8188967

Radix Representation

Decimal	8188950
Binary	11111001111010000010110 (23 bits)
Octal	0o37172026
Hexadecimal	0x7CF416

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 709 770 825 1,050 1,155 1,418 1,650 1,925 2,127 2,310 3,545 3,850 4,254 4,963 5,775 7,090 7,799 9,926 10,635 11,550 14,889 15,598

Collatz Trajectory (168 steps to reach 1)

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

8,188,950 4,094,475 12,283,426 6,141,713 18,425,140 9,212,570 4,606,285 13,818,856 6,909,428 3,454,714 1,727,357 5,182,072 2,591,036 1,295,518 647,759 1,943,278 971,639 2,914,918 1,457,459 4,372,378 2,186,189 6,558,568 3,279,284 1,639,642 819,821 2,459,464 1,229,732 614,866 307,433 922,300 461,150 230,575 691,726 345,863 1,037,590 518,795 1,556,386 778,193 2,334,580 1,167,290 583,645 1,750,936 875,468 437,734 218,867 656,602 328,301 984,904 492,452 246,226 123,113 369,340 184,670 92,335 277,006 138,503 415,510 207,755 623,266 311,633

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