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Atlas › Integer Profiles › Node 5,986,332

5,986,332

22 × 33 × 11 × 5039
Abundant Even Composite

5,986,332 factors as 2^2 × 3^3 × 11 × 5039. Its 48 positive divisors give a proper-divisor sum of 10,948,068, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 5039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,934,400
Proper Divisor Sum 10,948,068
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5986327 ← → #5986333

Radix Representation

Decimal 5986332
Binary 10110110101100000011100 (23 bits)
Octal 0o26654034
Hexadecimal 0x5B581C

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1,188 5,039 10,078 15,117 20,156 30,234 45,351 55,429 60,468 90,702 110,858 136,053 166,287 181,404 221,716 272,106 332,574 498,861 544,212 665,148 997,722 1,496,583 1,995,444 2,993,166 5,986,332

Collatz Trajectory (227 steps to reach 1)

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

5,986,332 2,993,166 1,496,583 4,489,750 2,244,875 6,734,626 3,367,313 10,101,940 5,050,970 2,525,485 7,576,456 3,788,228 1,894,114 947,057 2,841,172 1,420,586 710,293 2,130,880 1,065,440 532,720 266,360 133,180 66,590 33,295 99,886 49,943 149,830 74,915 224,746 112,373 337,120 168,560 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055

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