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Atlas › Integer Profiles › Node 8,108,958

8,108,958

2 × 3 × 11 × 132 × 727
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13^2 × 727
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,184,256
Proper Divisor Sum 11,075,298
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8108929 ← → #8108959

Radix Representation

Decimal 8108958
Binary 11110111011101110011110 (23 bits)
Octal 0o36735636
Hexadecimal 0x7BBB9E

Divisor Catalog (48)

1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 727 858 1,014 1,454 1,859 2,181 3,718 4,362 5,577 7,997 9,451 11,154 15,994 18,902 23,991 28,353 47,982 56,706 103,961 122,863 207,922 245,726 311,883 368,589 623,766 737,178 1,351,493 2,702,986 4,054,479 8,108,958

Collatz Trajectory (199 steps to reach 1)

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

8,108,958 4,054,479 12,163,438 6,081,719 18,245,158 9,122,579 27,367,738 13,683,869 41,051,608 20,525,804 10,262,902 5,131,451 15,394,354 7,697,177 23,091,532 11,545,766 5,772,883 17,318,650 8,659,325 25,977,976 12,988,988 6,494,494 3,247,247 9,741,742 4,870,871 14,612,614 7,306,307 21,918,922 10,959,461 32,878,384 16,439,192 8,219,596 4,109,798 2,054,899 6,164,698 3,082,349 9,247,048 4,623,524 2,311,762 1,155,881 3,467,644 1,733,822 866,911 2,600,734 1,300,367 3,901,102 1,950,551 5,851,654 2,925,827 8,777,482 4,388,741 13,166,224 6,583,112 3,291,556 1,645,778 822,889 2,468,668 1,234,334 617,167 1,851,502

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