7,336,650

2 × 3 × 5² × 59 × 829

Starting at 7,336,650, the Collatz iteration reaches 1 after 173 steps. The first transition is 3668325; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 59 × 829

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,525,600

Proper Divisor Sum 11,188,950

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7336633 ← → #7336657

Radix Representation

Decimal	7336650
Binary	11011111111001011001010 (23 bits)
Octal	0o33771312
Hexadecimal	0x6FF2CA

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 829 885 1,475 1,658 1,770 2,487 2,950 4,145 4,425 4,974 8,290 8,850 12,435 20,725 24,870 41,450 48,911 62,175 97,822 124,350 146,733 244,555 293,466 489,110 733,665 1,222,775 1,467,330 2,445,550 3,668,325 7,336,650

Collatz Trajectory (173 steps to reach 1)

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

7,336,650 3,668,325 11,004,976 5,502,488 2,751,244 1,375,622 687,811 2,063,434 1,031,717 3,095,152 1,547,576 773,788 386,894 193,447 580,342 290,171 870,514 435,257 1,305,772 652,886 326,443 979,330 489,665 1,468,996 734,498 367,249 1,101,748 550,874 275,437 826,312 413,156 206,578 103,289 309,868 154,934 77,467 232,402 116,201 348,604 174,302 87,151 261,454 130,727 392,182 196,091 588,274 294,137 882,412 441,206 220,603 661,810 330,905 992,716 496,358 248,179 744,538 372,269 1,116,808 558,404 279,202

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