λ
Modular Archive

3,727,120

24 × 5 × 46589
Abundant Even Composite

The decimal integer 3,727,120 is 1110001101111100010000 in binary (22 bits), 16157420 in octal and 38DF10 in hexadecimal. Its digit sum is 22.

Prime Factor Structure

Factorization String 2^4 × 5 × 46589
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,665,740
Proper Divisor Sum 4,938,620
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3727103 ← → #3727123

Radix Representation

Decimal 3727120
Binary 1110001101111100010000 (22 bits)
Octal 0o16157420
Hexadecimal 0x38DF10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 46,589 93,178 186,356 232,945 372,712 465,890 745,424 931,780 1,863,560 3,727,120

Collatz Trajectory (185 steps to reach 1)

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

3,727,120 1,863,560 931,780 465,890 232,945 698,836 349,418 174,709 524,128 262,064 131,032 65,516 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668 448,334 224,167 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138

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