λ
Prime Ledger

5,566,473

32 × 11 × 59 × 953
Deficient Odd Composite

5,566,473 has the prime decomposition 3^2 × 11 × 59 × 953. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 59 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,929,440
Proper Divisor Sum 3,362,967
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5566441 ← → #5566481

Radix Representation

Decimal 5566473
Binary 10101001111000000001001 (23 bits)
Octal 0o25170011
Hexadecimal 0x54F009

Divisor Catalog (24)

1 3 9 11 33 59 99 177 531 649 953 1,947 2,859 5,841 8,577 10,483 31,449 56,227 94,347 168,681 506,043 618,497 1,855,491 5,566,473

Collatz Trajectory (183 steps to reach 1)

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

5,566,473 16,699,420 8,349,710 4,174,855 12,524,566 6,262,283 18,786,850 9,393,425 28,180,276 14,090,138 7,045,069 21,135,208 10,567,604 5,283,802 2,641,901 7,925,704 3,962,852 1,981,426 990,713 2,972,140 1,486,070 743,035 2,229,106 1,114,553 3,343,660 1,671,830 835,915 2,507,746 1,253,873 3,761,620 1,880,810 940,405 2,821,216 1,410,608 705,304 352,652 176,326 88,163 264,490 132,245 396,736 198,368 99,184 49,592 24,796 12,398 6,199 18,598 9,299 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314

More profiles

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