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5,532,632

23 × 7 × 31 × 3187
Abundant Even Composite

5,532,632 factors as 2^3 × 7 × 31 × 3187. Its 32 positive divisors give a proper-divisor sum of 6,709,288, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 3187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,241,920
Proper Divisor Sum 6,709,288
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5532623 ← → #5532641

Radix Representation

Decimal 5532632
Binary 10101000110101111011000 (23 bits)
Octal 0o25065730
Hexadecimal 0x546BD8

Divisor Catalog (32)

1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1,736 3,187 6,374 12,748 22,309 25,496 44,618 89,236 98,797 178,472 197,594 395,188 691,579 790,376 1,383,158 2,766,316 5,532,632

Collatz Trajectory (201 steps to reach 1)

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

5,532,632 2,766,316 1,383,158 691,579 2,074,738 1,037,369 3,112,108 1,556,054 778,027 2,334,082 1,167,041 3,501,124 1,750,562 875,281 2,625,844 1,312,922 656,461 1,969,384 984,692 492,346 246,173 738,520 369,260 184,630 92,315 276,946 138,473 415,420 207,710 103,855 311,566 155,783 467,350 233,675 701,026 350,513 1,051,540 525,770 262,885 788,656 394,328 197,164 98,582 49,291 147,874 73,937 221,812 110,906 55,453 166,360 83,180 41,590 20,795 62,386 31,193 93,580 46,790 23,395 70,186 35,093

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