8,391,804

2² × 3 × 263 × 2659

Starting at 8,391,804, the Collatz iteration reaches 1 after 137 steps. The first transition is 4195902; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 263 × 2659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,662,720

Proper Divisor Sum 11,270,916

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8391797 ← → #8391809

Radix Representation

Decimal	8391804
Binary	100000000000110001111100 (24 bits)
Octal	0o40006174
Hexadecimal	0x800C7C

Divisor Catalog (24)

1 2 3 4 6 12 263 526 789 1,052 1,578 2,659 3,156 5,318 7,977 10,636 15,954 31,908 699,317 1,398,634 2,097,951 2,797,268 4,195,902 8,391,804

Collatz Trajectory (137 steps to reach 1)

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

8,391,804 4,195,902 2,097,951 6,293,854 3,146,927 9,440,782 4,720,391 14,161,174 7,080,587 21,241,762 10,620,881 31,862,644 15,931,322 7,965,661 23,896,984 11,948,492 5,974,246 2,987,123 8,961,370 4,480,685 13,442,056 6,721,028 3,360,514 1,680,257 5,040,772 2,520,386 1,260,193 3,780,580 1,890,290 945,145 2,835,436 1,417,718 708,859 2,126,578 1,063,289 3,189,868 1,594,934 797,467 2,392,402 1,196,201 3,588,604 1,794,302 897,151 2,691,454 1,345,727 4,037,182 2,018,591 6,055,774 3,027,887 9,083,662 4,541,831 13,625,494 6,812,747 20,438,242 10,219,121 30,657,364 15,328,682 7,664,341 22,993,024 11,496,512

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