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Atlas › Integer Profiles › Node 38,540,610

38,540,610

2 × 34 × 5 × 47581
Abundant Even Composite

38,540,610 factors as 2 × 3^4 × 5 × 47581. Its 40 positive divisors give a proper-divisor sum of 65,092,986, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 47581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 103,633,596
Proper Divisor Sum 65,092,986
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #38540609 ← → #38540633

Radix Representation

Decimal 38540610
Binary 10010011000001010101000010 (26 bits)
Octal 0o223012502
Hexadecimal 0x24C1542

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 47,581 95,162 142,743 237,905 285,486 428,229 475,810 713,715 856,458 1,284,687 1,427,430 2,141,145 2,569,374 3,854,061 4,282,290 6,423,435 7,708,122 12,846,870 19,270,305 38,540,610

Collatz Trajectory (209 steps to reach 1)

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

38,540,610 19,270,305 57,810,916 28,905,458 14,452,729 43,358,188 21,679,094 10,839,547 32,518,642 16,259,321 48,777,964 24,388,982 12,194,491 36,583,474 18,291,737 54,875,212 27,437,606 13,718,803 41,156,410 20,578,205 61,734,616 30,867,308 15,433,654 7,716,827 23,150,482 11,575,241 34,725,724 17,362,862 8,681,431 26,044,294 13,022,147 39,066,442 19,533,221 58,599,664 29,299,832 14,649,916 7,324,958 3,662,479 10,987,438 5,493,719 16,481,158 8,240,579 24,721,738 12,360,869 37,082,608 18,541,304 9,270,652 4,635,326 2,317,663 6,952,990 3,476,495 10,429,486 5,214,743 15,644,230 7,822,115 23,466,346 11,733,173 35,199,520 17,599,760 8,799,880

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