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4,633,332

22 × 3 × 112 × 3191
Abundant Even Composite

4,633,332 factors as 2^2 × 3 × 11^2 × 3191. Its 36 positive divisors give a proper-divisor sum of 7,253,676, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 3191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,887,008
Proper Divisor Sum 7,253,676
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4633331 ← → #4633361

Radix Representation

Decimal 4633332
Binary 10001101011001011110100 (23 bits)
Octal 0o21531364
Hexadecimal 0x46B2F4

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1,452 3,191 6,382 9,573 12,764 19,146 35,101 38,292 70,202 105,303 140,404 210,606 386,111 421,212 772,222 1,158,333 1,544,444 2,316,666 4,633,332

Collatz Trajectory (131 steps to reach 1)

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

4,633,332 2,316,666 1,158,333 3,475,000 1,737,500 868,750 434,375 1,303,126 651,563 1,954,690 977,345 2,932,036 1,466,018 733,009 2,199,028 1,099,514 549,757 1,649,272 824,636 412,318 206,159 618,478 309,239 927,718 463,859 1,391,578 695,789 2,087,368 1,043,684 521,842 260,921 782,764 391,382 195,691 587,074 293,537 880,612 440,306 220,153 660,460 330,230 165,115 495,346 247,673 743,020 371,510 185,755 557,266 278,633 835,900 417,950 208,975 626,926 313,463 940,390 470,195 1,410,586 705,293 2,115,880 1,057,940

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