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7,401,200

24 × 52 × 18503
Abundant Even Composite

7,401,200 factors as 2^4 × 5^2 × 18503. Its 30 positive divisors give a proper-divisor sum of 10,381,144, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 18503
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 17,782,344
Proper Divisor Sum 10,381,144
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #7401187 ← → #7401211

Radix Representation

Decimal 7401200
Binary 11100001110111011110000 (23 bits)
Octal 0o34167360
Hexadecimal 0x70EEF0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 18,503 37,006 74,012 92,515 148,024 185,030 296,048 370,060 462,575 740,120 925,150 1,480,240 1,850,300 3,700,600 7,401,200

Collatz Trajectory (142 steps to reach 1)

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

7,401,200 3,700,600 1,850,300 925,150 462,575 1,387,726 693,863 2,081,590 1,040,795 3,122,386 1,561,193 4,683,580 2,341,790 1,170,895 3,512,686 1,756,343 5,269,030 2,634,515 7,903,546 3,951,773 11,855,320 5,927,660 2,963,830 1,481,915 4,445,746 2,222,873 6,668,620 3,334,310 1,667,155 5,001,466 2,500,733 7,502,200 3,751,100 1,875,550 937,775 2,813,326 1,406,663 4,219,990 2,109,995 6,329,986 3,164,993 9,494,980 4,747,490 2,373,745 7,121,236 3,560,618 1,780,309 5,340,928 2,670,464 1,335,232 667,616 333,808 166,904 83,452 41,726 20,863 62,590 31,295 93,886 46,943

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