1,998,200

2³ × 5² × 97 × 103

1,998,200 is even and not a perfect square. Its factorization is 2^3 × 5^2 × 97 × 103 and its 48 divisors sum to 4,739,280.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 97 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,739,280

Proper Divisor Sum 2,741,080

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1998181 ← → #1998209

Radix Representation

Decimal	1998200
Binary	111100111110101111000 (21 bits)
Octal	0o7476570
Hexadecimal	0x1E7D78

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 97 100 103 194 200 206 388 412 485 515 776 824 970 1,030 1,940 2,060 2,425 2,575 3,880 4,120 4,850 5,150 9,700 9,991 10,300 19,400 19,982 20,600 39,964 49,955 79,928 99,910 199,820 249,775 399,640 499,550 999,100 1,998,200

Collatz Trajectory (114 steps to reach 1)

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

1,998,200 999,100 499,550 249,775 749,326 374,663 1,123,990 561,995 1,685,986 842,993 2,528,980 1,264,490 632,245 1,896,736 948,368 474,184 237,092 118,546 59,273 177,820 88,910 44,455 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676

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