6,960,060

2² × 3³ × 5 × 12889

6,960,060 has the prime decomposition 2^2 × 3^3 × 5 × 12889. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 12889

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,655,200

Proper Divisor Sum 14,695,140

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6960049 ← → #6960073

Radix Representation

Decimal	6960060
Binary	11010100011001110111100 (23 bits)
Octal	0o32431674
Hexadecimal	0x6A33BC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 12,889 25,778 38,667 51,556 64,445 77,334 116,001 128,890 154,668 193,335 232,002 257,780 348,003 386,670 464,004 580,005 696,006 773,340 1,160,010 1,392,012 1,740,015 2,320,020 3,480,030 6,960,060

Collatz Trajectory (204 steps to reach 1)

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

6,960,060 3,480,030 1,740,015 5,220,046 2,610,023 7,830,070 3,915,035 11,745,106 5,872,553 17,617,660 8,808,830 4,404,415 13,213,246 6,606,623 19,819,870 9,909,935 29,729,806 14,864,903 44,594,710 22,297,355 66,892,066 33,446,033 100,338,100 50,169,050 25,084,525 75,253,576 37,626,788 18,813,394 9,406,697 28,220,092 14,110,046 7,055,023 21,165,070 10,582,535 31,747,606 15,873,803 47,621,410 23,810,705 71,432,116 35,716,058 17,858,029 53,574,088 26,787,044 13,393,522 6,696,761 20,090,284 10,045,142 5,022,571 15,067,714 7,533,857 22,601,572 11,300,786 5,650,393 16,951,180 8,475,590 4,237,795 12,713,386 6,356,693 19,070,080 9,535,040

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