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2,000,400

24 × 3 × 52 × 1667
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,411,792
Proper Divisor Sum 4,411,392
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #2000393 ← → #2000413

Radix Representation

Decimal 2000400
Binary 111101000011000010000 (21 bits)
Octal 0o7503020
Hexadecimal 0x1E8610

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1,200 1,667 3,334 5,001 6,668 8,335 10,002 13,336 16,670 20,004 25,005 26,672 33,340 40,008 41,675 50,010 66,680 80,016 83,350 100,020 125,025 133,360 166,700 200,040 250,050 333,400 400,080 500,100 666,800 1,000,200 2,000,400

Collatz Trajectory (140 steps to reach 1)

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

2,000,400 1,000,200 500,100 250,050 125,025 375,076 187,538 93,769 281,308 140,654 70,327 210,982 105,491 316,474 158,237 474,712 237,356 118,678 59,339 178,018 89,009 267,028 133,514 66,757 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119

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