3,004,200

2³ × 3² × 5² × 1669

3,004,200 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 5^2 × 1669 and its 72 divisors sum to 10,095,150.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 1669

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 10,095,150

Proper Divisor Sum 7,090,950

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #3004181 ← → #3004217

Radix Representation

Decimal	3004200
Binary	1011011101011100101000 (22 bits)
Octal	0o13353450
Hexadecimal	0x2DD728

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1,669 1,800 3,338 5,007 6,676 8,345 10,014 13,352 15,021 16,690 20,028 25,035 30,042 33,380 40,056 41,725 50,070 60,084 66,760 75,105 83,450 100,140 120,168 125,175 150,210

Collatz Trajectory (112 steps to reach 1)

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

3,004,200 1,502,100 751,050 375,525 1,126,576 563,288 281,644 140,822 70,411 211,234 105,617 316,852 158,426 79,213 237,640 118,820 59,410 29,705 89,116 44,558 22,279 66,838 33,419 100,258 50,129 150,388 75,194 37,597 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061

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