λ
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15,337,300

22 × 52 × 11 × 73 × 191
Abundant Even Composite

15,337,300 factors as 2^2 × 5^2 × 11 × 73 × 191. Its 72 positive divisors give a proper-divisor sum of 21,660,332, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 73 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 36,997,632
Proper Divisor Sum 21,660,332
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #15337279 ← → #15337303

Radix Representation

Decimal 15337300
Binary 111010100000011101010100 (24 bits)
Octal 0o72403524
Hexadecimal 0xEA0754

Divisor Catalog (60 of 72)

1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 191 220 275 292 365 382 550 730 764 803 955 1,100 1,460 1,606 1,825 1,910 2,101 3,212 3,650 3,820 4,015 4,202 4,775 7,300 8,030 8,404 9,550 10,505 13,943 16,060 19,100 20,075 21,010 27,886 40,150 42,020 52,525 55,772 69,715 80,300 105,050 139,430 153,373 210,100

Collatz Trajectory (81 steps to reach 1)

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

15,337,300 7,668,650 3,834,325 11,502,976 5,751,488 2,875,744 1,437,872 718,936 359,468 179,734 89,867 269,602 134,801 404,404 202,202 101,101 303,304 151,652 75,826 37,913 113,740 56,870 28,435 85,306 42,653 127,960 63,980 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76

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