λ
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9,537,080

23 × 5 × 7 × 34061
Abundant Even Composite

9,537,080 factors as 2^3 × 5 × 7 × 34061. Its 32 positive divisors give a proper-divisor sum of 14,987,560, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 34061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,524,640
Proper Divisor Sum 14,987,560
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9537067 ← → #9537089

Radix Representation

Decimal 9537080
Binary 100100011000011000111000 (24 bits)
Octal 0o44303070
Hexadecimal 0x918638

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 34,061 68,122 136,244 170,305 238,427 272,488 340,610 476,854 681,220 953,708 1,192,135 1,362,440 1,907,416 2,384,270 4,768,540 9,537,080

Collatz Trajectory (101 steps to reach 1)

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

9,537,080 4,768,540 2,384,270 1,192,135 3,576,406 1,788,203 5,364,610 2,682,305 8,046,916 4,023,458 2,011,729 6,035,188 3,017,594 1,508,797 4,526,392 2,263,196 1,131,598 565,799 1,697,398 848,699 2,546,098 1,273,049 3,819,148 1,909,574 954,787 2,864,362 1,432,181 4,296,544 2,148,272 1,074,136 537,068 268,534 134,267 402,802 201,401 604,204 302,102 151,051 453,154 226,577 679,732 339,866 169,933 509,800 254,900 127,450 63,725 191,176 95,588 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082

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