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Atlas › Integer Profiles › Node 6,064,720

6,064,720

24 × 5 × 41 × 432
Abundant Even Composite

6,064,720 factors as 2^4 × 5 × 41 × 43^2. Its 60 positive divisors give a proper-divisor sum of 8,723,396, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 43^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 14,788,116
Proper Divisor Sum 8,723,396
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6064717 ← → #6064771

Radix Representation

Decimal 6064720
Binary 10111001000101001010000 (23 bits)
Octal 0o27105120
Hexadecimal 0x5C8A50

Divisor Catalog (60)

1 2 4 5 8 10 16 20 40 41 43 80 82 86 164 172 205 215 328 344 410 430 656 688 820 860 1,640 1,720 1,763 1,849 3,280 3,440 3,526 3,698 7,052 7,396 8,815 9,245 14,104 14,792 17,630 18,490 28,208 29,584 35,260 36,980 70,520 73,960 75,809 141,040 147,920 151,618 303,236 379,045 606,472 758,090 1,212,944 1,516,180 3,032,360 6,064,720

Collatz Trajectory (227 steps to reach 1)

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

6,064,720 3,032,360 1,516,180 758,090 379,045 1,137,136 568,568 284,284 142,142 71,071 213,214 106,607 319,822 159,911 479,734 239,867 719,602 359,801 1,079,404 539,702 269,851 809,554 404,777 1,214,332 607,166 303,583 910,750 455,375 1,366,126 683,063 2,049,190 1,024,595 3,073,786 1,536,893 4,610,680 2,305,340 1,152,670 576,335 1,729,006 864,503 2,593,510 1,296,755 3,890,266 1,945,133 5,835,400 2,917,700 1,458,850 729,425 2,188,276 1,094,138 547,069 1,641,208 820,604 410,302 205,151 615,454 307,727 923,182 461,591 1,384,774

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