2,832,872

2³ × 7 × 50587

2,832,872 factors as 2^3 × 7 × 50587. Its 16 positive divisors give a proper-divisor sum of 3,237,688, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 50587

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,070,560

Proper Divisor Sum 3,237,688

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2832871 ← → #2832877

Radix Representation

Decimal	2832872
Binary	1010110011100111101000 (22 bits)
Octal	0o12634750
Hexadecimal	0x2B39E8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 50,587 101,174 202,348 354,109 404,696 708,218 1,416,436 2,832,872

Collatz Trajectory (138 steps to reach 1)

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

2,832,872 1,416,436 708,218 354,109 1,062,328 531,164 265,582 132,791 398,374 199,187 597,562 298,781 896,344 448,172 224,086 112,043 336,130 168,065 504,196 252,098 126,049 378,148 189,074 94,537 283,612 141,806 70,903 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825 179,476 89,738 44,869 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980

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