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11,645,840

24 × 5 × 149 × 977
Abundant Even Composite

11,645,840 factors as 2^4 × 5 × 149 × 977. Its 40 positive divisors give a proper-divisor sum of 15,640,360, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 149 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,286,200
Proper Divisor Sum 15,640,360
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #11645831 ← → #11645857

Radix Representation

Decimal 11645840
Binary 101100011011001110010000 (24 bits)
Octal 0o54331620
Hexadecimal 0xB1B390

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 149 298 596 745 977 1,192 1,490 1,954 2,384 2,980 3,908 4,885 5,960 7,816 9,770 11,920 15,632 19,540 39,080 78,160 145,573 291,146 582,292 727,865 1,164,584 1,455,730 2,329,168 2,911,460 5,822,920 11,645,840

Collatz Trajectory (78 steps to reach 1)

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

11,645,840 5,822,920 2,911,460 1,455,730 727,865 2,183,596 1,091,798 545,899 1,637,698 818,849 2,456,548 1,228,274 614,137 1,842,412 921,206 460,603 1,381,810 690,905 2,072,716 1,036,358 518,179 1,554,538 777,269 2,331,808 1,165,904 582,952 291,476 145,738 72,869 218,608 109,304 54,652 27,326 13,663 40,990 20,495 61,486 30,743 92,230 46,115 138,346 69,173 207,520 103,760 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58

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