λ
Modular Archive

2,704,800

25 × 3 × 52 × 72 × 23
Abundant Even Composite

The decimal integer 2,704,800 is 1010010100010110100000 in binary (22 bits), 12242640 in octal and 2945A0 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 7^2 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 216
Divisor Sum (σ) 10,686,816
Proper Divisor Sum 7,982,016
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2704789 ← → #2704813

Radix Representation

Decimal 2704800
Binary 1010010100010110100000 (22 bits)
Octal 0o12242640
Hexadecimal 0x2945A0

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 56 60 69 70 75 80 84 92 96 98 100 105 112 115 120 138 140 147 150 160 161 168 175 184 196 200 210 224 230 240 245 276

Collatz Trajectory (63 steps to reach 1)

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

2,704,800 1,352,400 676,200 338,100 169,050 84,525 253,576 126,788 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 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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