λ
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Atlas › Integer Profiles › Node 40,040,028

40,040,028

22 × 33 × 7 × 52963
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 52963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 118,639,360
Proper Divisor Sum 78,599,332
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #40040027 ← → #40040029

Radix Representation

Decimal 40040028
Binary 10011000101111011001011100 (26 bits)
Octal 0o230573134
Hexadecimal 0x262F65C

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 52,963 105,926 158,889 211,852 317,778 370,741 476,667 635,556 741,482 953,334 1,112,223 1,430,001 1,482,964 1,906,668 2,224,446 2,860,002 3,336,669 4,448,892 5,720,004 6,673,338 10,010,007 13,346,676 20,020,014 40,040,028

Collatz Trajectory (421 steps to reach 1)

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

40,040,028 20,020,014 10,010,007 30,030,022 15,015,011 45,045,034 22,522,517 67,567,552 33,783,776 16,891,888 8,445,944 4,222,972 2,111,486 1,055,743 3,167,230 1,583,615 4,750,846 2,375,423 7,126,270 3,563,135 10,689,406 5,344,703 16,034,110 8,017,055 24,051,166 12,025,583 36,076,750 18,038,375 54,115,126 27,057,563 81,172,690 40,586,345 121,759,036 60,879,518 30,439,759 91,319,278 45,659,639 136,978,918 68,489,459 205,468,378 102,734,189 308,202,568 154,101,284 77,050,642 38,525,321 115,575,964 57,787,982 28,893,991 86,681,974 43,340,987 130,022,962 65,011,481 195,034,444 97,517,222 48,758,611 146,275,834 73,137,917 219,413,752 109,706,876 54,853,438

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