9,120,696

2³ × 3 × 13 × 23 × 31 × 41

Starting at 9,120,696, the Collatz iteration reaches 1 after 256 steps. The first transition is 4560348; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 23 × 31 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 27,095,040

Proper Divisor Sum 17,974,344

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9120691 ← → #9120701

Radix Representation

Decimal	9120696
Binary	100010110010101110111000 (24 bits)
Octal	0o42625670
Hexadecimal	0x8B2BB8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 12 13 23 24 26 31 39 41 46 52 62 69 78 82 92 93 104 123 124 138 156 164 184 186 246 248 276 299 312 328 372 403 492 533 552 598 713 744 806 897 943 984 1,066 1,196 1,209 1,271 1,426 1,599 1,612 1,794 1,886 2,132 2,139 2,392

Collatz Trajectory (256 steps to reach 1)

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

9,120,696 4,560,348 2,280,174 1,140,087 3,420,262 1,710,131 5,130,394 2,565,197 7,695,592 3,847,796 1,923,898 961,949 2,885,848 1,442,924 721,462 360,731 1,082,194 541,097 1,623,292 811,646 405,823 1,217,470 608,735 1,826,206 913,103 2,739,310 1,369,655 4,108,966 2,054,483 6,163,450 3,081,725 9,245,176 4,622,588 2,311,294 1,155,647 3,466,942 1,733,471 5,200,414 2,600,207 7,800,622 3,900,311 11,700,934 5,850,467 17,551,402 8,775,701 26,327,104 13,163,552 6,581,776 3,290,888 1,645,444 822,722 411,361 1,234,084 617,042 308,521 925,564 462,782 231,391 694,174 347,087

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