λ
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3,987,384

23 × 3 × 17 × 29 × 337
Abundant Even Composite

3,987,384 factors as 2^3 × 3 × 17 × 29 × 337. Its 64 positive divisors give a proper-divisor sum of 6,963,816, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 29 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,951,200
Proper Divisor Sum 6,963,816
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3987353 ← → #3987407

Radix Representation

Decimal 3987384
Binary 1111001101011110111000 (22 bits)
Octal 0o17153670
Hexadecimal 0x3CD7B8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 337 348 408 493 674 696 986 1,011 1,348 1,479 1,972 2,022 2,696 2,958 3,944 4,044 5,729 5,916 8,088 9,773 11,458 11,832 17,187 19,546 22,916 29,319 34,374 39,092 45,832 58,638 68,748 78,184 117,276 137,496 166,141 234,552 332,282 498,423 664,564

Collatz Trajectory (229 steps to reach 1)

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

3,987,384 1,993,692 996,846 498,423 1,495,270 747,635 2,242,906 1,121,453 3,364,360 1,682,180 841,090 420,545 1,261,636 630,818 315,409 946,228 473,114 236,557 709,672 354,836 177,418 88,709 266,128 133,064 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703

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