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Atlas › Integer Profiles › Node 7,507,700

7,507,700

22 × 52 × 193 × 389
Abundant Even Composite

7,507,700 factors as 2^2 × 5^2 × 193 × 389. Its 36 positive divisors give a proper-divisor sum of 8,910,520, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 193 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,418,220
Proper Divisor Sum 8,910,520
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7507657 ← → #7507711

Radix Representation

Decimal 7507700
Binary 11100101000111011110100 (23 bits)
Octal 0o34507364
Hexadecimal 0x728EF4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 193 386 389 772 778 965 1,556 1,930 1,945 3,860 3,890 4,825 7,780 9,650 9,725 19,300 19,450 38,900 75,077 150,154 300,308 375,385 750,770 1,501,540 1,876,925 3,753,850 7,507,700

Collatz Trajectory (186 steps to reach 1)

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

7,507,700 3,753,850 1,876,925 5,630,776 2,815,388 1,407,694 703,847 2,111,542 1,055,771 3,167,314 1,583,657 4,750,972 2,375,486 1,187,743 3,563,230 1,781,615 5,344,846 2,672,423 8,017,270 4,008,635 12,025,906 6,012,953 18,038,860 9,019,430 4,509,715 13,529,146 6,764,573 20,293,720 10,146,860 5,073,430 2,536,715 7,610,146 3,805,073 11,415,220 5,707,610 2,853,805 8,561,416 4,280,708 2,140,354 1,070,177 3,210,532 1,605,266 802,633 2,407,900 1,203,950 601,975 1,805,926 902,963 2,708,890 1,354,445 4,063,336 2,031,668 1,015,834 507,917 1,523,752 761,876 380,938 190,469 571,408 285,704

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