7,995,726

2 × 3³ × 263 × 563

For 7,995,726, the 32 positive divisors have a total of 17,867,520. Removing 7,995,726 leaves 9,871,794, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^3 × 263 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,867,520

Proper Divisor Sum 9,871,794

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7995683 ← → #7995727

Radix Representation

Decimal	7995726
Binary	11110100000000101001110 (23 bits)
Octal	0o36400516
Hexadecimal	0x7A014E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 263 526 563 789 1,126 1,578 1,689 2,367 3,378 4,734 5,067 7,101 10,134 14,202 15,201 30,402 148,069 296,138 444,207 888,414 1,332,621 2,665,242 3,997,863 7,995,726

Collatz Trajectory (261 steps to reach 1)

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

7,995,726 3,997,863 11,993,590 5,996,795 17,990,386 8,995,193 26,985,580 13,492,790 6,746,395 20,239,186 10,119,593 30,358,780 15,179,390 7,589,695 22,769,086 11,384,543 34,153,630 17,076,815 51,230,446 25,615,223 76,845,670 38,422,835 115,268,506 57,634,253 172,902,760 86,451,380 43,225,690 21,612,845 64,838,536 32,419,268 16,209,634 8,104,817 24,314,452 12,157,226 6,078,613 18,235,840 9,117,920 4,558,960 2,279,480 1,139,740 569,870 284,935 854,806 427,403 1,282,210 641,105 1,923,316 961,658 480,829 1,442,488 721,244 360,622 180,311 540,934 270,467 811,402 405,701 1,217,104 608,552 304,276

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