2,017,400

2³ × 5² × 7 × 11 × 131

2,017,400 factors as 2^3 × 5^2 × 7 × 11 × 131. Its 96 positive divisors give a proper-divisor sum of 3,875,080, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 11 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 5,892,480

Proper Divisor Sum 3,875,080

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2017397 ← → #2017403

Radix Representation

Decimal	2017400
Binary	111101100100001111000 (21 bits)
Octal	0o7544170
Hexadecimal	0x1EC878

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 131 140 154 175 200 220 262 275 280 308 350 385 440 524 550 616 655 700 770 917 1,048 1,100 1,310 1,400 1,441 1,540 1,834 1,925 2,200 2,620 2,882 3,080 3,275 3,668 3,850 4,585

Collatz Trajectory (135 steps to reach 1)

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

2,017,400 1,008,700 504,350 252,175 756,526 378,263 1,134,790 567,395 1,702,186 851,093 2,553,280 1,276,640 638,320 319,160 159,580 79,790 39,895 119,686 59,843 179,530 89,765 269,296 134,648 67,324 33,662 16,831 50,494 25,247 75,742 37,871 113,614 56,807 170,422 85,211 255,634 127,817 383,452 191,726 95,863 287,590 143,795 431,386 215,693 647,080 323,540 161,770 80,885 242,656 121,328 60,664 30,332 15,166 7,583 22,750 11,375 34,126 17,063 51,190 25,595 76,786

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