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Atlas › Integer Profiles › Node 6,916,720

6,916,720

24 × 5 × 31 × 2789
Abundant Even Composite

6,916,720 factors as 2^4 × 5 × 31 × 2789. Its 40 positive divisors give a proper-divisor sum of 9,689,360, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 2789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,606,080
Proper Divisor Sum 9,689,360
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6916711 ← → #6916727

Radix Representation

Decimal 6916720
Binary 11010011000101001110000 (23 bits)
Octal 0o32305160
Hexadecimal 0x698A70

Divisor Catalog (40)

1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1,240 2,480 2,789 5,578 11,156 13,945 22,312 27,890 44,624 55,780 86,459 111,560 172,918 223,120 345,836 432,295 691,672 864,590 1,383,344 1,729,180 3,458,360 6,916,720

Collatz Trajectory (103 steps to reach 1)

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

6,916,720 3,458,360 1,729,180 864,590 432,295 1,296,886 648,443 1,945,330 972,665 2,917,996 1,458,998 729,499 2,188,498 1,094,249 3,282,748 1,641,374 820,687 2,462,062 1,231,031 3,693,094 1,846,547 5,539,642 2,769,821 8,309,464 4,154,732 2,077,366 1,038,683 3,116,050 1,558,025 4,674,076 2,337,038 1,168,519 3,505,558 1,752,779 5,258,338 2,629,169 7,887,508 3,943,754 1,971,877 5,915,632 2,957,816 1,478,908 739,454 369,727 1,109,182 554,591 1,663,774 831,887 2,495,662 1,247,831 3,743,494 1,871,747 5,615,242 2,807,621 8,422,864 4,211,432 2,105,716 1,052,858 526,429 1,579,288

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