2,001,120

2⁵ × 3 × 5 × 11 × 379

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 11 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 6,894,720

Proper Divisor Sum 4,893,600

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #2001101 ← → #2001127

Radix Representation

Decimal	2001120
Binary	111101000100011100000 (21 bits)
Octal	0o7504340
Hexadecimal	0x1E88E0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 379 440 480 528 660 758 880 1,056 1,137 1,320 1,516 1,760 1,895 2,274 2,640 3,032 3,790 4,169 4,548 5,280 5,685 6,064

Collatz Trajectory (91 steps to reach 1)

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

2,001,120 1,000,560 500,280 250,140 125,070 62,535 187,606 93,803 281,410 140,705 422,116 211,058 105,529 316,588 158,294 79,147 237,442 118,721 356,164 178,082 89,041 267,124 133,562 66,781 200,344 100,172 50,086 25,043 75,130 37,565 112,696 56,348 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116

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