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Atlas › Integer Profiles › Node 6,908,440

6,908,440

23 × 5 × 7 × 11 × 2243
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 2243
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,388,160
Proper Divisor Sum 12,479,720
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6908431 ← → #6908453

Radix Representation

Decimal 6908440
Binary 11010010110101000011000 (23 bits)
Octal 0o32265030
Hexadecimal 0x696A18

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1,540 2,243 3,080 4,486 8,972 11,215 15,701 17,944 22,430 24,673 31,402 44,860 49,346 62,804 78,505 89,720 98,692 123,365 125,608 157,010 172,711 197,384 246,730 314,020 345,422 493,460 628,040 690,844 863,555 986,920

Collatz Trajectory (191 steps to reach 1)

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

6,908,440 3,454,220 1,727,110 863,555 2,590,666 1,295,333 3,886,000 1,943,000 971,500 485,750 242,875 728,626 364,313 1,092,940 546,470 273,235 819,706 409,853 1,229,560 614,780 307,390 153,695 461,086 230,543 691,630 345,815 1,037,446 518,723 1,556,170 778,085 2,334,256 1,167,128 583,564 291,782 145,891 437,674 218,837 656,512 328,256 164,128 82,064 41,032 20,516 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306

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