λ
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37,394,864

24 × 13 × 37 × 43 × 113
Abundant Even Composite

37,394,864 factors as 2^4 × 13 × 37 × 43 × 113. Its 80 positive divisors give a proper-divisor sum of 45,329,008, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 37 × 43 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 82,723,872
Proper Divisor Sum 45,329,008
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #37394843 ← → #37394879

Radix Representation

Decimal 37394864
Binary 10001110101001100110110000 (26 bits)
Octal 0o216514660
Hexadecimal 0x23A99B0

Divisor Catalog (60 of 80)

1 2 4 8 13 16 26 37 43 52 74 86 104 113 148 172 208 226 296 344 452 481 559 592 688 904 962 1,118 1,469 1,591 1,808 1,924 2,236 2,938 3,182 3,848 4,181 4,472 4,859 5,876 6,364 7,696 8,362 8,944 9,718 11,752 12,728 16,724 19,436 20,683 23,504 25,456 33,448 38,872 41,366 54,353 63,167 66,896 77,744 82,732

Collatz Trajectory (183 steps to reach 1)

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

37,394,864 18,697,432 9,348,716 4,674,358 2,337,179 7,011,538 3,505,769 10,517,308 5,258,654 2,629,327 7,887,982 3,943,991 11,831,974 5,915,987 17,747,962 8,873,981 26,621,944 13,310,972 6,655,486 3,327,743 9,983,230 4,991,615 14,974,846 7,487,423 22,462,270 11,231,135 33,693,406 16,846,703 50,540,110 25,270,055 75,810,166 37,905,083 113,715,250 56,857,625 170,572,876 85,286,438 42,643,219 127,929,658 63,964,829 191,894,488 95,947,244 47,973,622 23,986,811 71,960,434 35,980,217 107,940,652 53,970,326 26,985,163 80,955,490 40,477,745 121,433,236 60,716,618 30,358,309 91,074,928 45,537,464 22,768,732 11,384,366 5,692,183 17,076,550 8,538,275

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