7,996,732

2² × 17 × 23 × 5113

For 7,996,732, the 24 positive divisors have a total of 15,464,736. Removing 7,996,732 leaves 7,468,004, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 5113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,464,736

Proper Divisor Sum 7,468,004

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7996727 ← → #7996733

Radix Representation

Decimal	7996732
Binary	11110100000010100111100 (23 bits)
Octal	0o36402474
Hexadecimal	0x7A053C

Divisor Catalog (24)

1 2 4 17 23 34 46 68 92 391 782 1,564 5,113 10,226 20,452 86,921 117,599 173,842 235,198 347,684 470,396 1,999,183 3,998,366 7,996,732

Collatz Trajectory (173 steps to reach 1)

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

7,996,732 3,998,366 1,999,183 5,997,550 2,998,775 8,996,326 4,498,163 13,494,490 6,747,245 20,241,736 10,120,868 5,060,434 2,530,217 7,590,652 3,795,326 1,897,663 5,692,990 2,846,495 8,539,486 4,269,743 12,809,230 6,404,615 19,213,846 9,606,923 28,820,770 14,410,385 43,231,156 21,615,578 10,807,789 32,423,368 16,211,684 8,105,842 4,052,921 12,158,764 6,079,382 3,039,691 9,119,074 4,559,537 13,678,612 6,839,306 3,419,653 10,258,960 5,129,480 2,564,740 1,282,370 641,185 1,923,556 961,778 480,889 1,442,668 721,334 360,667 1,082,002 541,001 1,623,004 811,502 405,751 1,217,254 608,627 1,825,882

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