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Atlas › Integer Profiles › Node 15,015,400

15,015,400

23 × 52 × 193 × 389
Abundant Even Composite

15,015,400 factors as 2^3 × 5^2 × 193 × 389. Its 48 positive divisors give a proper-divisor sum of 20,166,500, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 193 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,181,900
Proper Divisor Sum 20,166,500
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #15015383 ← → #15015401

Radix Representation

Decimal 15015400
Binary 111001010001110111101000 (24 bits)
Octal 0o71216750
Hexadecimal 0xE51DE8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 193 200 386 389 772 778 965 1,544 1,556 1,930 1,945 3,112 3,860 3,890 4,825 7,720 7,780 9,650 9,725 15,560 19,300 19,450 38,600 38,900 75,077 77,800 150,154 300,308 375,385 600,616 750,770 1,501,540 1,876,925 3,003,080 3,753,850 7,507,700 15,015,400

Collatz Trajectory (187 steps to reach 1)

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

15,015,400 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

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