7,204,824

2³ × 3² × 11² × 827

7,204,824 factors as 2^3 × 3^2 × 11^2 × 827. Its 72 positive divisors give a proper-divisor sum of 14,269,356, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11^2 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 21,474,180

Proper Divisor Sum 14,269,356

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7204823 ← → #7204829

Radix Representation

Decimal	7204824
Binary	11011011110111111011000 (23 bits)
Octal	0o33367730
Hexadecimal	0x6DEFD8

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 827 968 1,089 1,452 1,654 2,178 2,481 2,904 3,308 4,356 4,962 6,616 7,443 8,712 9,097 9,924 14,886 18,194 19,848 27,291 29,772 36,388 54,582 59,544 72,776 81,873 100,067 109,164 163,746 200,134 218,328

Collatz Trajectory (90 steps to reach 1)

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

7,204,824 3,602,412 1,801,206 900,603 2,701,810 1,350,905 4,052,716 2,026,358 1,013,179 3,039,538 1,519,769 4,559,308 2,279,654 1,139,827 3,419,482 1,709,741 5,129,224 2,564,612 1,282,306 641,153 1,923,460 961,730 480,865 1,442,596 721,298 360,649 1,081,948 540,974 270,487 811,462 405,731 1,217,194 608,597 1,825,792 912,896 456,448 228,224 114,112 57,056 28,528 14,264 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

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