λ
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19,250,142

2 × 3 × 29 × 317 × 349
Abundant Even Composite

19,250,142 factors as 2 × 3 × 29 × 317 × 349. Its 32 positive divisors give a proper-divisor sum of 20,817,858, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 317 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,068,000
Proper Divisor Sum 20,817,858
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #19250141 ← → #19250177

Radix Representation

Decimal 19250142
Binary 1001001011011101111011110 (25 bits)
Octal 0o111335736
Hexadecimal 0x125BBDE

Divisor Catalog (32)

1 2 3 6 29 58 87 174 317 349 634 698 951 1,047 1,902 2,094 9,193 10,121 18,386 20,242 27,579 30,363 55,158 60,726 110,633 221,266 331,899 663,798 3,208,357 6,416,714 9,625,071 19,250,142

Collatz Trajectory (177 steps to reach 1)

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

19,250,142 9,625,071 28,875,214 14,437,607 43,312,822 21,656,411 64,969,234 32,484,617 97,453,852 48,726,926 24,363,463 73,090,390 36,545,195 109,635,586 54,817,793 164,453,380 82,226,690 41,113,345 123,340,036 61,670,018 30,835,009 92,505,028 46,252,514 23,126,257 69,378,772 34,689,386 17,344,693 52,034,080 26,017,040 13,008,520 6,504,260 3,252,130 1,626,065 4,878,196 2,439,098 1,219,549 3,658,648 1,829,324 914,662 457,331 1,371,994 685,997 2,057,992 1,028,996 514,498 257,249 771,748 385,874 192,937 578,812 289,406 144,703 434,110 217,055 651,166 325,583 976,750 488,375 1,465,126 732,563

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