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Atlas › Integer Profiles › Node 6,809,488

6,809,488

24 × 7 × 163 × 373
Abundant Even Composite

6,809,488 factors as 2^4 × 7 × 163 × 373. Its 40 positive divisors give a proper-divisor sum of 8,401,840, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 163 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,211,328
Proper Divisor Sum 8,401,840
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6809483 ← → #6809507

Radix Representation

Decimal 6809488
Binary 11001111110011110010000 (23 bits)
Octal 0o31763620
Hexadecimal 0x67E790

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 163 326 373 652 746 1,141 1,304 1,492 2,282 2,608 2,611 2,984 4,564 5,222 5,968 9,128 10,444 18,256 20,888 41,776 60,799 121,598 243,196 425,593 486,392 851,186 972,784 1,702,372 3,404,744 6,809,488

Collatz Trajectory (129 steps to reach 1)

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

6,809,488 3,404,744 1,702,372 851,186 425,593 1,276,780 638,390 319,195 957,586 478,793 1,436,380 718,190 359,095 1,077,286 538,643 1,615,930 807,965 2,423,896 1,211,948 605,974 302,987 908,962 454,481 1,363,444 681,722 340,861 1,022,584 511,292 255,646 127,823 383,470 191,735 575,206 287,603 862,810 431,405 1,294,216 647,108 323,554 161,777 485,332 242,666 121,333 364,000 182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193

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