2,016,000

2⁸ × 3² × 5³ × 7

Prime Factor Structure

Factorization String 2^8 × 3^2 × 5^3 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 8,290,464

Proper Divisor Sum 6,274,464

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #2015999 ← → #2016017

Radix Representation

Decimal	2016000
Binary	111101100001100000000 (21 bits)
Octal	0o7541400
Hexadecimal	0x1EC300

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240

Collatz Trajectory (135 steps to reach 1)

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

2,016,000 1,008,000 504,000 252,000 126,000 63,000 31,500 15,750 7,875 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787

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