8,328,124

2² × 7 × 283 × 1051

Starting at 8,328,124, the Collatz iteration reaches 1 after 160 steps. The first transition is 4164062; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 283 × 1051

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,731,008

Proper Divisor Sum 8,402,884

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8328121 ← → #8328127

Radix Representation

Decimal	8328124
Binary	11111110001001110111100 (23 bits)
Octal	0o37611674
Hexadecimal	0x7F13BC

Divisor Catalog (24)

1 2 4 7 14 28 283 566 1,051 1,132 1,981 2,102 3,962 4,204 7,357 7,924 14,714 29,428 297,433 594,866 1,189,732 2,082,031 4,164,062 8,328,124

Collatz Trajectory (160 steps to reach 1)

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

8,328,124 4,164,062 2,082,031 6,246,094 3,123,047 9,369,142 4,684,571 14,053,714 7,026,857 21,080,572 10,540,286 5,270,143 15,810,430 7,905,215 23,715,646 11,857,823 35,573,470 17,786,735 53,360,206 26,680,103 80,040,310 40,020,155 120,060,466 60,030,233 180,090,700 90,045,350 45,022,675 135,068,026 67,534,013 202,602,040 101,301,020 50,650,510 25,325,255 75,975,766 37,987,883 113,963,650 56,981,825 170,945,476 85,472,738 42,736,369 128,209,108 64,104,554 32,052,277 96,156,832 48,078,416 24,039,208 12,019,604 6,009,802 3,004,901 9,014,704 4,507,352 2,253,676 1,126,838 563,419 1,690,258 845,129 2,535,388 1,267,694 633,847 1,901,542

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