λ
Modular Archive

1,609,200

24 × 33 × 52 × 149
Abundant Even Composite

The decimal integer 1,609,200 is 110001000110111110000 in binary (21 bits), 6106760 in octal and 188DF0 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5^2 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 5,766,000
Proper Divisor Sum 4,156,800
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1609199 ← → #1609211

Radix Representation

Decimal 1609200
Binary 110001000110111110000 (21 bits)
Octal 0o6106760
Hexadecimal 0x188DF0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 149 150 180 200 216 225 240 270 298 300 360 400 432 447 450 540 596 600 675 720 745 894 900 1,080 1,192 1,200

Collatz Trajectory (70 steps to reach 1)

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

1,609,200 804,600 402,300 201,150 100,575 301,726 150,863 452,590 226,295 678,886 339,443 1,018,330 509,165 1,527,496 763,748 381,874 190,937 572,812 286,406 143,203 429,610 214,805 644,416 322,208 161,104 80,552 40,276 20,138 10,069 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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