6,116,040

2³ × 3³ × 5 × 7 × 809

6,116,040 has the prime decomposition 2^3 × 3^3 × 5 × 7 × 809. Its 5 distinct prime factors produce 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 7 × 809

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 23,328,000

Proper Divisor Sum 17,211,960

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6116029 ← → #6116051

Radix Representation

Decimal	6116040
Binary	10111010101001011001000 (23 bits)
Octal	0o27251310
Hexadecimal	0x5D52C8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 809 840 945 1,080 1,260

Collatz Trajectory (139 steps to reach 1)

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

6,116,040 3,058,020 1,529,010 764,505 2,293,516 1,146,758 573,379 1,720,138 860,069 2,580,208 1,290,104 645,052 322,526 161,263 483,790 241,895 725,686 362,843 1,088,530 544,265 1,632,796 816,398 408,199 1,224,598 612,299 1,836,898 918,449 2,755,348 1,377,674 688,837 2,066,512 1,033,256 516,628 258,314 129,157 387,472 193,736 96,868 48,434 24,217 72,652 36,326 18,163 54,490 27,245 81,736 40,868 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798

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