4,090,800

2⁴ × 3 × 5² × 7 × 487

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7 × 487

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 15,006,976

Proper Divisor Sum 10,916,176

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4090799 ← → #4090813

Radix Representation

Decimal	4090800
Binary	1111100110101110110000 (22 bits)
Octal	0o17465660
Hexadecimal	0x3E6BB0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 487 525 560 600 700 840 974 1,050 1,200 1,400 1,461 1,680 1,948

Collatz Trajectory (198 steps to reach 1)

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

4,090,800 2,045,400 1,022,700 511,350 255,675 767,026 383,513 1,150,540 575,270 287,635 862,906 431,453 1,294,360 647,180 323,590 161,795 485,386 242,693 728,080 364,040 182,020 91,010 45,505 136,516 68,258 34,129 102,388 51,194 25,597 76,792 38,396 19,198 9,599 28,798 14,399 43,198 21,599 64,798 32,399 97,198 48,599 145,798 72,899 218,698 109,349 328,048 164,024 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325

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