8,319,960

2³ × 3² × 5 × 11² × 191

Starting at 8,319,960, the Collatz iteration reaches 1 after 80 steps. The first transition is 4159980; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11^2 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 29,877,120

Proper Divisor Sum 21,557,160

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8319959 ← → #8319977

Radix Representation

Decimal	8319960
Binary	11111101111001111011000 (23 bits)
Octal	0o37571730
Hexadecimal	0x7EF3D8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 191 198 220 242 264 330 360 363 382 396 440 484 495 573 605 660 726 764 792 955 968 990 1,089 1,146 1,210

Collatz Trajectory (80 steps to reach 1)

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

8,319,960 4,159,980 2,079,990 1,039,995 3,119,986 1,559,993 4,679,980 2,339,990 1,169,995 3,509,986 1,754,993 5,264,980 2,632,490 1,316,245 3,948,736 1,974,368 987,184 493,592 246,796 123,398 61,699 185,098 92,549 277,648 138,824 69,412 34,706 17,353 52,060 26,030 13,015 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245

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