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4,586,472

23 × 32 × 11 × 5791
Abundant Even Composite

4,586,472 factors as 2^3 × 3^2 × 11 × 5791. Its 48 positive divisors give a proper-divisor sum of 8,966,808, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 5791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,553,280
Proper Divisor Sum 8,966,808
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4586459 ← → #4586479

Radix Representation

Decimal 4586472
Binary 10001011111101111101000 (23 bits)
Octal 0o21375750
Hexadecimal 0x45FBE8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5,791 11,582 17,373 23,164 34,746 46,328 52,119 63,701 69,492 104,238 127,402 138,984 191,103 208,476 254,804 382,206 416,952 509,608 573,309 764,412 1,146,618 1,528,824 2,293,236 4,586,472

Collatz Trajectory (105 steps to reach 1)

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

4,586,472 2,293,236 1,146,618 573,309 1,719,928 859,964 429,982 214,991 644,974 322,487 967,462 483,731 1,451,194 725,597 2,176,792 1,088,396 544,198 272,099 816,298 408,149 1,224,448 612,224 306,112 153,056 76,528 38,264 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853

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