λ
Prime Ledger

9,876,389

73 × 193 × 701
Deficient Odd Composite

9,876,389 has the prime decomposition 73 × 193 × 701. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 73 × 193 × 701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,077,912
Proper Divisor Sum 201,523
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #9876379 ← → #9876413

Radix Representation

Decimal 9876389
Binary 100101101011001110100101 (24 bits)
Octal 0o45531645
Hexadecimal 0x96B3A5

Divisor Catalog (8)

1 73 193 701 14,089 51,173 135,293 9,876,389

Collatz Trajectory (88 steps to reach 1)

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

9,876,389 29,629,168 14,814,584 7,407,292 3,703,646 1,851,823 5,555,470 2,777,735 8,333,206 4,166,603 12,499,810 6,249,905 18,749,716 9,374,858 4,687,429 14,062,288 7,031,144 3,515,572 1,757,786 878,893 2,636,680 1,318,340 659,170 329,585 988,756 494,378 247,189 741,568 370,784 185,392 92,696 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448

More profiles

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