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Atlas › Integer Profiles › Node 38,306,500

38,306,500

22 × 53 × 23 × 3331
Abundant Even Composite

38,306,500 factors as 2^2 × 5^3 × 23 × 3331. Its 48 positive divisors give a proper-divisor sum of 49,018,556, so this integer is abundant. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 23 × 3331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 87,325,056
Proper Divisor Sum 49,018,556
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #38306473 ← → #38306503

Radix Representation

Decimal 38306500
Binary 10010010001000001011000100 (26 bits)
Octal 0o222101304
Hexadecimal 0x24882C4

Divisor Catalog (48)

1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1,150 2,300 2,875 3,331 5,750 6,662 11,500 13,324 16,655 33,310 66,620 76,613 83,275 153,226 166,550 306,452 333,100 383,065 416,375 766,130 832,750 1,532,260 1,665,500 1,915,325 3,830,650 7,661,300 9,576,625 19,153,250 38,306,500

Collatz Trajectory (302 steps to reach 1)

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

38,306,500 19,153,250 9,576,625 28,729,876 14,364,938 7,182,469 21,547,408 10,773,704 5,386,852 2,693,426 1,346,713 4,040,140 2,020,070 1,010,035 3,030,106 1,515,053 4,545,160 2,272,580 1,136,290 568,145 1,704,436 852,218 426,109 1,278,328 639,164 319,582 159,791 479,374 239,687 719,062 359,531 1,078,594 539,297 1,617,892 808,946 404,473 1,213,420 606,710 303,355 910,066 455,033 1,365,100 682,550 341,275 1,023,826 511,913 1,535,740 767,870 383,935 1,151,806 575,903 1,727,710 863,855 2,591,566 1,295,783 3,887,350 1,943,675 5,831,026 2,915,513 8,746,540

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