8,744,034

2 × 3 × 13 × 112103

Starting at 8,744,034, the Collatz iteration reaches 1 after 212 steps. The first transition is 4372017; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 112103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,833,472

Proper Divisor Sum 10,089,438

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8744033 ← → #8744041

Radix Representation

Decimal	8744034
Binary	100001010110110001100010 (24 bits)
Octal	0o41266142
Hexadecimal	0x856C62

Divisor Catalog (16)

1 2 3 6 13 26 39 78 112,103 224,206 336,309 672,618 1,457,339 2,914,678 4,372,017 8,744,034

Collatz Trajectory (212 steps to reach 1)

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

8,744,034 4,372,017 13,116,052 6,558,026 3,279,013 9,837,040 4,918,520 2,459,260 1,229,630 614,815 1,844,446 922,223 2,766,670 1,383,335 4,150,006 2,075,003 6,225,010 3,112,505 9,337,516 4,668,758 2,334,379 7,003,138 3,501,569 10,504,708 5,252,354 2,626,177 7,878,532 3,939,266 1,969,633 5,908,900 2,954,450 1,477,225 4,431,676 2,215,838 1,107,919 3,323,758 1,661,879 4,985,638 2,492,819 7,478,458 3,739,229 11,217,688 5,608,844 2,804,422 1,402,211 4,206,634 2,103,317 6,309,952 3,154,976 1,577,488 788,744 394,372 197,186 98,593 295,780 147,890 73,945 221,836 110,918 55,459

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