7,504,100

2² × 5² × 75041

7,504,100 factors as 2^2 × 5^2 × 75041. Its 18 positive divisors give a proper-divisor sum of 8,780,014, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 75041

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 16,284,114

Proper Divisor Sum 8,780,014

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7504099 ← → #7504103

Radix Representation

Decimal	7504100
Binary	11100101000000011100100 (23 bits)
Octal	0o34500344
Hexadecimal	0x7280E4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 75,041 150,082 300,164 375,205 750,410 1,500,820 1,876,025 3,752,050 7,504,100

Collatz Trajectory (173 steps to reach 1)

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

7,504,100 3,752,050 1,876,025 5,628,076 2,814,038 1,407,019 4,221,058 2,110,529 6,331,588 3,165,794 1,582,897 4,748,692 2,374,346 1,187,173 3,561,520 1,780,760 890,380 445,190 222,595 667,786 333,893 1,001,680 500,840 250,420 125,210 62,605 187,816 93,908 46,954 23,477 70,432 35,216 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221

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