7,680,060

2² × 3² × 5 × 42667

7,680,060 has the prime decomposition 2^2 × 3^2 × 5 × 42667. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 42667

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 23,296,728

Proper Divisor Sum 15,616,668

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7680059 ← → #7680067

Radix Representation

Decimal	7680060
Binary	11101010011000000111100 (23 bits)
Octal	0o35230074
Hexadecimal	0x75303C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 42,667 85,334 128,001 170,668 213,335 256,002 384,003 426,670 512,004 640,005 768,006 853,340 1,280,010 1,536,012 1,920,015 2,560,020 3,840,030 7,680,060

Collatz Trajectory (72 steps to reach 1)

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

7,680,060 3,840,030 1,920,015 5,760,046 2,880,023 8,640,070 4,320,035 12,960,106 6,480,053 19,440,160 9,720,080 4,860,040 2,430,020 1,215,010 607,505 1,822,516 911,258 455,629 1,366,888 683,444 341,722 170,861 512,584 256,292 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226

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