8,330,778

2 × 3² × 19 × 24359

Starting at 8,330,778, the Collatz iteration reaches 1 after 137 steps. The first transition is 4165389; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 24359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,000,800

Proper Divisor Sum 10,670,022

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8330771 ← → #8330779

Radix Representation

Decimal	8330778
Binary	11111110001111000011010 (23 bits)
Octal	0o37617032
Hexadecimal	0x7F1E1A

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 24,359 48,718 73,077 146,154 219,231 438,462 462,821 925,642 1,388,463 2,776,926 4,165,389 8,330,778

Collatz Trajectory (137 steps to reach 1)

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

8,330,778 4,165,389 12,496,168 6,248,084 3,124,042 1,562,021 4,686,064 2,343,032 1,171,516 585,758 292,879 878,638 439,319 1,317,958 658,979 1,976,938 988,469 2,965,408 1,482,704 741,352 370,676 185,338 92,669 278,008 139,004 69,502 34,751 104,254 52,127 156,382 78,191 234,574 117,287 351,862 175,931 527,794 263,897 791,692 395,846 197,923 593,770 296,885 890,656 445,328 222,664 111,332 55,666 27,833 83,500 41,750 20,875 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807

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