19,987,500

2² × 3 × 5⁵ × 13 × 41

19,987,500 factors as 2^2 × 3 × 5^5 × 13 × 41. Its 144 positive divisors give a proper-divisor sum of 44,320,884, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^5 × 13 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 64,308,384

Proper Divisor Sum 44,320,884

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #19987477 ← → #19987501

Radix Representation

Decimal	19987500
Binary	1001100001111110000101100 (25 bits)
Octal	0o114176054
Hexadecimal	0x130FC2C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 41 50 52 60 65 75 78 82 100 123 125 130 150 156 164 195 205 246 250 260 300 325 375 390 410 492 500 533 615 625 650 750 780 820 975 1,025 1,066 1,230 1,250 1,300 1,500 1,599 1,625 1,875 1,950

Collatz Trajectory (115 steps to reach 1)

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

19,987,500 9,993,750 4,996,875 14,990,626 7,495,313 22,485,940 11,242,970 5,621,485 16,864,456 8,432,228 4,216,114 2,108,057 6,324,172 3,162,086 1,581,043 4,743,130 2,371,565 7,114,696 3,557,348 1,778,674 889,337 2,668,012 1,334,006 667,003 2,001,010 1,000,505 3,001,516 1,500,758 750,379 2,251,138 1,125,569 3,376,708 1,688,354 844,177 2,532,532 1,266,266 633,133 1,899,400 949,700 474,850 237,425 712,276 356,138 178,069 534,208 267,104 133,552 66,776 33,388 16,694 8,347 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131

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