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6,209,550

2 × 32 × 52 × 13799
Abundant Even Composite

6,209,550 factors as 2 × 3^2 × 5^2 × 13799. Its 36 positive divisors give a proper-divisor sum of 10,474,650, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 13799
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,684,200
Proper Divisor Sum 10,474,650
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6209543 ← → #6209551

Radix Representation

Decimal 6209550
Binary 10111101100000000001110 (23 bits)
Octal 0o27540016
Hexadecimal 0x5EC00E

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 13,799 27,598 41,397 68,995 82,794 124,191 137,990 206,985 248,382 344,975 413,970 620,955 689,950 1,034,925 1,241,910 2,069,850 3,104,775 6,209,550

Collatz Trajectory (77 steps to reach 1)

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

6,209,550 3,104,775 9,314,326 4,657,163 13,971,490 6,985,745 20,957,236 10,478,618 5,239,309 15,717,928 7,858,964 3,929,482 1,964,741 5,894,224 2,947,112 1,473,556 736,778 368,389 1,105,168 552,584 276,292 138,146 69,073 207,220 103,610 51,805 155,416 77,708 38,854 19,427 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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