λ
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Atlas › Integer Profiles › Node 15,313,650

15,313,650

2 × 3 × 52 × 11 × 9281
Abundant Even Composite

15,313,650 factors as 2 × 3 × 5^2 × 11 × 9281. Its 48 positive divisors give a proper-divisor sum of 26,121,198, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 9281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,434,848
Proper Divisor Sum 26,121,198
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #15313643 ← → #15313663

Radix Representation

Decimal 15313650
Binary 111010011010101011110010 (24 bits)
Octal 0o72325362
Hexadecimal 0xE9AAF2

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1,650 9,281 18,562 27,843 46,405 55,686 92,810 102,091 139,215 204,182 232,025 278,430 306,273 464,050 510,455 612,546 696,075 1,020,910 1,392,150 1,531,365 2,552,275 3,062,730 5,104,550 7,656,825 15,313,650

Collatz Trajectory (187 steps to reach 1)

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

15,313,650 7,656,825 22,970,476 11,485,238 5,742,619 17,227,858 8,613,929 25,841,788 12,920,894 6,460,447 19,381,342 9,690,671 29,072,014 14,536,007 43,608,022 21,804,011 65,412,034 32,706,017 98,118,052 49,059,026 24,529,513 73,588,540 36,794,270 18,397,135 55,191,406 27,595,703 82,787,110 41,393,555 124,180,666 62,090,333 186,271,000 93,135,500 46,567,750 23,283,875 69,851,626 34,925,813 104,777,440 52,388,720 26,194,360 13,097,180 6,548,590 3,274,295 9,822,886 4,911,443 14,734,330 7,367,165 22,101,496 11,050,748 5,525,374 2,762,687 8,288,062 4,144,031 12,432,094 6,216,047 18,648,142 9,324,071 27,972,214 13,986,107 41,958,322 20,979,161

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