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Atlas › Integer Profiles › Node 40,539,440

40,539,440

24 × 5 × 506743
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 506743
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 94,254,384
Proper Divisor Sum 53,714,944
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #40539439 ← → #40539463

Radix Representation

Decimal 40539440
Binary 10011010101001010100110000 (26 bits)
Octal 0o232512460
Hexadecimal 0x26A9530

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 506,743 1,013,486 2,026,972 2,533,715 4,053,944 5,067,430 8,107,888 10,134,860 20,269,720 40,539,440

Collatz Trajectory (222 steps to reach 1)

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

40,539,440 20,269,720 10,134,860 5,067,430 2,533,715 7,601,146 3,800,573 11,401,720 5,700,860 2,850,430 1,425,215 4,275,646 2,137,823 6,413,470 3,206,735 9,620,206 4,810,103 14,430,310 7,215,155 21,645,466 10,822,733 32,468,200 16,234,100 8,117,050 4,058,525 12,175,576 6,087,788 3,043,894 1,521,947 4,565,842 2,282,921 6,848,764 3,424,382 1,712,191 5,136,574 2,568,287 7,704,862 3,852,431 11,557,294 5,778,647 17,335,942 8,667,971 26,003,914 13,001,957 39,005,872 19,502,936 9,751,468 4,875,734 2,437,867 7,313,602 3,656,801 10,970,404 5,485,202 2,742,601 8,227,804 4,113,902 2,056,951 6,170,854 3,085,427 9,256,282

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