9,578,040

2³ × 3 × 5 × 79817

Starting at 9,578,040, the Collatz iteration reaches 1 after 145 steps. The first transition is 4789020; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 79817

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 28,734,480

Proper Divisor Sum 19,156,440

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9578029 ← → #9578047

Radix Representation

Decimal	9578040
Binary	100100100010011000111000 (24 bits)
Octal	0o44423070
Hexadecimal	0x922638

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 79,817 159,634 239,451 319,268 399,085 478,902 638,536 798,170 957,804 1,197,255 1,596,340 1,915,608 2,394,510 3,192,680 4,789,020 9,578,040

Collatz Trajectory (145 steps to reach 1)

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

9,578,040 4,789,020 2,394,510 1,197,255 3,591,766 1,795,883 5,387,650 2,693,825 8,081,476 4,040,738 2,020,369 6,061,108 3,030,554 1,515,277 4,545,832 2,272,916 1,136,458 568,229 1,704,688 852,344 426,172 213,086 106,543 319,630 159,815 479,446 239,723 719,170 359,585 1,078,756 539,378 269,689 809,068 404,534 202,267 606,802 303,401 910,204 455,102 227,551 682,654 341,327 1,023,982 511,991 1,535,974 767,987 2,303,962 1,151,981 3,455,944 1,727,972 863,986 431,993 1,295,980 647,990 323,995 971,986 485,993 1,457,980 728,990 364,495

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