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5,331,392

26 × 11 × 7573
Abundant Even Composite

5,331,392 factors as 2^6 × 11 × 7573. Its 28 positive divisors give a proper-divisor sum of 6,211,384, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 7573
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 11,542,776
Proper Divisor Sum 6,211,384
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5331379 ← → #5331401

Radix Representation

Decimal 5331392
Binary 10100010101100111000000 (23 bits)
Octal 0o24254700
Hexadecimal 0x5159C0

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 7,573 15,146 30,292 60,584 83,303 121,168 166,606 242,336 333,212 484,672 666,424 1,332,848 2,665,696 5,331,392

Collatz Trajectory (188 steps to reach 1)

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

5,331,392 2,665,696 1,332,848 666,424 333,212 166,606 83,303 249,910 124,955 374,866 187,433 562,300 281,150 140,575 421,726 210,863 632,590 316,295 948,886 474,443 1,423,330 711,665 2,134,996 1,067,498 533,749 1,601,248 800,624 400,312 200,156 100,078 50,039 150,118 75,059 225,178 112,589 337,768 168,884 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940

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