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Atlas › Integer Profiles › Node 41,664,080

41,664,080

24 × 5 × 241 × 2161
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 241 × 2161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 97,315,944
Proper Divisor Sum 55,651,864
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #41664079 ← → #41664101

Radix Representation

Decimal 41664080
Binary 10011110111011111001010000 (26 bits)
Octal 0o236737120
Hexadecimal 0x27BBE50

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 241 482 964 1,205 1,928 2,161 2,410 3,856 4,322 4,820 8,644 9,640 10,805 17,288 19,280 21,610 34,576 43,220 86,440 172,880 520,801 1,041,602 2,083,204 2,604,005 4,166,408 5,208,010 8,332,816 10,416,020 20,832,040 41,664,080

Collatz Trajectory (191 steps to reach 1)

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

41,664,080 20,832,040 10,416,020 5,208,010 2,604,005 7,812,016 3,906,008 1,953,004 976,502 488,251 1,464,754 732,377 2,197,132 1,098,566 549,283 1,647,850 823,925 2,471,776 1,235,888 617,944 308,972 154,486 77,243 231,730 115,865 347,596 173,798 86,899 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225

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