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Atlas › Integer Profiles › Node 43,442,001

43,442,001

34 × 41 × 103 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 41 × 103 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 67,651,584
Proper Divisor Sum 24,209,583
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #43441973 ← → #43442011

Radix Representation

Decimal 43442001
Binary 10100101101101111101010001 (26 bits)
Octal 0o245557521
Hexadecimal 0x296DF51

Divisor Catalog (40)

1 3 9 27 41 81 103 123 127 309 369 381 927 1,107 1,143 2,781 3,321 3,429 4,223 5,207 8,343 10,287 12,669 13,081 15,621 38,007 39,243 46,863 114,021 117,729 140,589 342,063 353,187 421,767 536,321 1,059,561 1,608,963 4,826,889 14,480,667 43,442,001

Collatz Trajectory (204 steps to reach 1)

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

43,442,001 130,326,004 65,163,002 32,581,501 97,744,504 48,872,252 24,436,126 12,218,063 36,654,190 18,327,095 54,981,286 27,490,643 82,471,930 41,235,965 123,707,896 61,853,948 30,926,974 15,463,487 46,390,462 23,195,231 69,585,694 34,792,847 104,378,542 52,189,271 156,567,814 78,283,907 234,851,722 117,425,861 352,277,584 176,138,792 88,069,396 44,034,698 22,017,349 66,052,048 33,026,024 16,513,012 8,256,506 4,128,253 12,384,760 6,192,380 3,096,190 1,548,095 4,644,286 2,322,143 6,966,430 3,483,215 10,449,646 5,224,823 15,674,470 7,837,235 23,511,706 11,755,853 35,267,560 17,633,780 8,816,890 4,408,445 13,225,336 6,612,668 3,306,334 1,653,167

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