λ
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1,993,692

22 × 3 × 17 × 29 × 337
Abundant Even Composite

1,993,692 factors as 2^2 × 3 × 17 × 29 × 337. Its 48 positive divisors give a proper-divisor sum of 3,116,868, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

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

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,110,560
Proper Divisor Sum 3,116,868
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1993687 ← → #1993697

Radix Representation

Decimal 1993692
Binary 111100110101111011100 (21 bits)
Octal 0o7465734
Hexadecimal 0x1E6BDC

Divisor Catalog (48)

1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 337 348 493 674 986 1,011 1,348 1,479 1,972 2,022 2,958 4,044 5,729 5,916 9,773 11,458 17,187 19,546 22,916 29,319 34,374 39,092 58,638 68,748 117,276 166,141 332,282 498,423 664,564 996,846 1,993,692

Collatz Trajectory (228 steps to reach 1)

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

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 2,110

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