8,850,336

2⁵ × 3 × 11 × 17² × 29

Starting at 8,850,336, the Collatz iteration reaches 1 after 119 steps. The first transition is 4425168; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 17^2 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 27,851,040

Proper Divisor Sum 19,000,704

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8850329 ← → #8850343

Radix Representation

Decimal	8850336
Binary	100001110000101110100000 (24 bits)
Octal	0o41605640
Hexadecimal	0x870BA0

Divisor Catalog (60 of 144)

1 2 3 4 6 8 11 12 16 17 22 24 29 32 33 34 44 48 51 58 66 68 87 88 96 102 116 132 136 174 176 187 204 232 264 272 289 319 348 352 374 408 464 493 528 544 561 578 638 696 748 816 867 928 957 986 1,056 1,122 1,156 1,276

Collatz Trajectory (119 steps to reach 1)

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

8,850,336 4,425,168 2,212,584 1,106,292 553,146 276,573 829,720 414,860 207,430 103,715 311,146 155,573 466,720 233,360 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561

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