6,001,320

2³ × 3 × 5 × 13 × 3847

6,001,320 is even and not a perfect square. Its factorization is 2^3 × 3 × 5 × 13 × 3847 and its 64 divisors sum to 19,393,920.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 3847

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,393,920

Proper Divisor Sum 13,392,600

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #6001297 ← → #6001339

Radix Representation

Decimal	6001320
Binary	10110111001001010101000 (23 bits)
Octal	0o26711250
Hexadecimal	0x5B92A8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1,560 3,847 7,694 11,541 15,388 19,235 23,082 30,776 38,470 46,164 50,011 57,705 76,940 92,328 100,022 115,410 150,033 153,880 200,044 230,820 250,055 300,066 400,088 461,640 500,110 600,132 750,165 1,000,220 1,200,264

Collatz Trajectory (139 steps to reach 1)

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

6,001,320 3,000,660 1,500,330 750,165 2,250,496 1,125,248 562,624 281,312 140,656 70,328 35,164 17,582 8,791 26,374 13,187 39,562 19,781 59,344 29,672 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358

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