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Atlas › Integer Profiles › Node 41,003,980

41,003,980

22 × 5 × 53 × 101 × 383
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 53 × 101 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,833,024
Proper Divisor Sum 47,829,044
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #41003959 ← → #41003987

Radix Representation

Decimal 41003980
Binary 10011100011010101111001100 (26 bits)
Octal 0o234325714
Hexadecimal 0x271ABCC

Divisor Catalog (48)

1 2 4 5 10 20 53 101 106 202 212 265 383 404 505 530 766 1,010 1,060 1,532 1,915 2,020 3,830 5,353 7,660 10,706 20,299 21,412 26,765 38,683 40,598 53,530 77,366 81,196 101,495 107,060 154,732 193,415 202,990 386,830 405,980 773,660 2,050,199 4,100,398 8,200,796 10,250,995 20,501,990 41,003,980

Collatz Trajectory (129 steps to reach 1)

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

41,003,980 20,501,990 10,250,995 30,752,986 15,376,493 46,129,480 23,064,740 11,532,370 5,766,185 17,298,556 8,649,278 4,324,639 12,973,918 6,486,959 19,460,878 9,730,439 29,191,318 14,595,659 43,786,978 21,893,489 65,680,468 32,840,234 16,420,117 49,260,352 24,630,176 12,315,088 6,157,544 3,078,772 1,539,386 769,693 2,309,080 1,154,540 577,270 288,635 865,906 432,953 1,298,860 649,430 324,715 974,146 487,073 1,461,220 730,610 365,305 1,095,916 547,958 273,979 821,938 410,969 1,232,908 616,454 308,227 924,682 462,341 1,387,024 693,512 346,756 173,378 86,689 260,068

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