λ
Modular Archive

4,080,480

25 × 3 × 5 × 8501
Abundant Even Composite

The decimal integer 4,080,480 is 1111100100001101100000 in binary (22 bits), 17441540 in octal and 3E4360 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 8501
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,855,024
Proper Divisor Sum 8,774,544
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4080469 ← → #4080509

Radix Representation

Decimal 4080480
Binary 1111100100001101100000 (22 bits)
Octal 0o17441540
Hexadecimal 0x3E4360

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8,501 17,002 25,503 34,004 42,505 51,006 68,008 85,010 102,012 127,515 136,016 170,020 204,024 255,030 272,032 340,040 408,048 510,060 680,080 816,096 1,020,120 1,360,160 2,040,240 4,080,480

Collatz Trajectory (110 steps to reach 1)

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

4,080,480 2,040,240 1,020,120 510,060 255,030 127,515 382,546 191,273 573,820 286,910 143,455 430,366 215,183 645,550 322,775 968,326 484,163 1,452,490 726,245 2,178,736 1,089,368 544,684 272,342 136,171 408,514 204,257 612,772 306,386 153,193 459,580 229,790 114,895 344,686 172,343 517,030 258,515 775,546 387,773 1,163,320 581,660 290,830 145,415 436,246 218,123 654,370 327,185 981,556 490,778 245,389 736,168 368,084 184,042 92,021 276,064 138,032 69,016 34,508 17,254 8,627 25,882

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