8,864,856

2³ × 3³ × 7 × 11 × 13 × 41

Starting at 8,864,856, the Collatz iteration reaches 1 after 181 steps. The first transition is 4432428; the starting value is even with 256 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 11 × 13 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 256

Divisor Sum (σ) 33,868,800

Proper Divisor Sum 25,003,944

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8864851 ← → #8864879

Radix Representation

Decimal	8864856
Binary	100001110100010001011000 (24 bits)
Octal	0o41642130
Hexadecimal	0x874458

Divisor Catalog (60 of 256)

1 2 3 4 6 7 8 9 11 12 13 14 18 21 22 24 26 27 28 33 36 39 41 42 44 52 54 56 63 66 72 77 78 82 84 88 91 99 104 108 117 123 126 132 143 154 156 164 168 182 189 198 216 231 234 246 252 264 273 286

Collatz Trajectory (181 steps to reach 1)

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

8,864,856 4,432,428 2,216,214 1,108,107 3,324,322 1,662,161 4,986,484 2,493,242 1,246,621 3,739,864 1,869,932 934,966 467,483 1,402,450 701,225 2,103,676 1,051,838 525,919 1,577,758 788,879 2,366,638 1,183,319 3,549,958 1,774,979 5,324,938 2,662,469 7,987,408 3,993,704 1,996,852 998,426 499,213 1,497,640 748,820 374,410 187,205 561,616 280,808 140,404 70,202 35,101 105,304 52,652 26,326 13,163 39,490 19,745 59,236 29,618 14,809 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562

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