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Atlas › Integer Profiles › Node 53,330,706

53,330,706

2 × 32 × 11 × 13 × 20719
Abundant Even Composite

53,330,706 factors as 2 × 3^2 × 11 × 13 × 20719. Its 48 positive divisors give a proper-divisor sum of 82,426,734, so this integer is abundant. The Collatz stopping time is 287 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13 × 20719
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 135,757,440
Proper Divisor Sum 82,426,734
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #53330659 ← → #53330713

Radix Representation

Decimal 53330706
Binary 11001011011100001100010010 (26 bits)
Octal 0o313341422
Hexadecimal 0x32DC312

Divisor Catalog (48)

1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1,287 2,574 20,719 41,438 62,157 124,314 186,471 227,909 269,347 372,942 455,818 538,694 683,727 808,041 1,367,454 1,616,082 2,051,181 2,424,123 2,962,817 4,102,362 4,848,246 5,925,634 8,888,451 17,776,902 26,665,353 53,330,706

Collatz Trajectory (287 steps to reach 1)

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

53,330,706 26,665,353 79,996,060 39,998,030 19,999,015 59,997,046 29,998,523 89,995,570 44,997,785 134,993,356 67,496,678 33,748,339 101,245,018 50,622,509 151,867,528 75,933,764 37,966,882 18,983,441 56,950,324 28,475,162 14,237,581 42,712,744 21,356,372 10,678,186 5,339,093 16,017,280 8,008,640 4,004,320 2,002,160 1,001,080 500,540 250,270 125,135 375,406 187,703 563,110 281,555 844,666 422,333 1,267,000 633,500 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251

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