8,042,088

2³ × 3 × 17 × 23 × 857

Starting at 8,042,088, the Collatz iteration reaches 1 after 111 steps. The first transition is 4021044; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 23 × 857

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 22,239,360

Proper Divisor Sum 14,197,272

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8042081 ← → #8042093

Radix Representation

Decimal	8042088
Binary	11110101011011001101000 (23 bits)
Octal	0o36533150
Hexadecimal	0x7AB668

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 857 1,173 1,564 1,714 2,346 2,571 3,128 3,428 4,692 5,142 6,856 9,384 10,284 14,569 19,711 20,568 29,138 39,422 43,707 58,276 59,133 78,844 87,414 116,552 118,266 157,688 174,828 236,532 335,087 349,656 473,064 670,174 1,005,261 1,340,348

Collatz Trajectory (111 steps to reach 1)

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

8,042,088 4,021,044 2,010,522 1,005,261 3,015,784 1,507,892 753,946 376,973 1,130,920 565,460 282,730 141,365 424,096 212,048 106,024 53,012 26,506 13,253 39,760 19,880 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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