9,029,352

2³ × 3 × 439 × 857

Starting at 9,029,352, the Collatz iteration reaches 1 after 150 steps. The first transition is 4514676; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 439 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,651,200

Proper Divisor Sum 13,621,848

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9029341 ← → #9029357

Radix Representation

Decimal	9029352
Binary	100010011100011011101000 (24 bits)
Octal	0o42343350
Hexadecimal	0x89C6E8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 439 857 878 1,317 1,714 1,756 2,571 2,634 3,428 3,512 5,142 5,268 6,856 10,284 10,536 20,568 376,223 752,446 1,128,669 1,504,892 2,257,338 3,009,784 4,514,676 9,029,352

Collatz Trajectory (150 steps to reach 1)

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

9,029,352 4,514,676 2,257,338 1,128,669 3,386,008 1,693,004 846,502 423,251 1,269,754 634,877 1,904,632 952,316 476,158 238,079 714,238 357,119 1,071,358 535,679 1,607,038 803,519 2,410,558 1,205,279 3,615,838 1,807,919 5,423,758 2,711,879 8,135,638 4,067,819 12,203,458 6,101,729 18,305,188 9,152,594 4,576,297 13,728,892 6,864,446 3,432,223 10,296,670 5,148,335 15,445,006 7,722,503 23,167,510 11,583,755 34,751,266 17,375,633 52,126,900 26,063,450 13,031,725 39,095,176 19,547,588 9,773,794 4,886,897 14,660,692 7,330,346 3,665,173 10,995,520 5,497,760 2,748,880 1,374,440 687,220 343,610

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