λ
Prime Ledger

8,999,307

32 × 17 × 131 × 449
Deficient Odd Composite

8,999,307 has the prime decomposition 3^2 × 17 × 131 × 449. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 131 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,899,600
Proper Divisor Sum 4,900,293
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8999303 ← → #8999311

Radix Representation

Decimal 8999307
Binary 100010010101000110001011 (24 bits)
Octal 0o42250613
Hexadecimal 0x89518B

Divisor Catalog (24)

1 3 9 17 51 131 153 393 449 1,179 1,347 2,227 4,041 6,681 7,633 20,043 22,899 58,819 68,697 176,457 529,371 999,923 2,999,769 8,999,307

Collatz Trajectory (137 steps to reach 1)

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

8,999,307 26,997,922 13,498,961 40,496,884 20,248,442 10,124,221 30,372,664 15,186,332 7,593,166 3,796,583 11,389,750 5,694,875 17,084,626 8,542,313 25,626,940 12,813,470 6,406,735 19,220,206 9,610,103 28,830,310 14,415,155 43,245,466 21,622,733 64,868,200 32,434,100 16,217,050 8,108,525 24,325,576 12,162,788 6,081,394 3,040,697 9,122,092 4,561,046 2,280,523 6,841,570 3,420,785 10,262,356 5,131,178 2,565,589 7,696,768 3,848,384 1,924,192 962,096 481,048 240,524 120,262 60,131 180,394 90,197 270,592 135,296 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586

More profiles

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