λ
Prime Ledger

9,988,665

3 × 5 × 31 × 21481
Deficient Odd Composite

9,988,665 has the prime decomposition 3 × 5 × 31 × 21481. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 21481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,498,176
Proper Divisor Sum 6,509,511
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9988633 ← → #9988687

Radix Representation

Decimal 9988665
Binary 100110000110101000111001 (24 bits)
Octal 0o46065071
Hexadecimal 0x986A39

Divisor Catalog (16)

1 3 5 15 31 93 155 465 21,481 64,443 107,405 322,215 665,911 1,997,733 3,329,555 9,988,665

Collatz Trajectory (137 steps to reach 1)

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

9,988,665 29,965,996 14,982,998 7,491,499 22,474,498 11,237,249 33,711,748 16,855,874 8,427,937 25,283,812 12,641,906 6,320,953 18,962,860 9,481,430 4,740,715 14,222,146 7,111,073 21,333,220 10,666,610 5,333,305 15,999,916 7,999,958 3,999,979 11,999,938 5,999,969 17,999,908 8,999,954 4,499,977 13,499,932 6,749,966 3,374,983 10,124,950 5,062,475 15,187,426 7,593,713 22,781,140 11,390,570 5,695,285 17,085,856 8,542,928 4,271,464 2,135,732 1,067,866 533,933 1,601,800 800,900 400,450 200,225 600,676 300,338 150,169 450,508 225,254 112,627 337,882 168,941 506,824 253,412 126,706 63,353

More profiles

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