λ
Prime Ledger

987,758

2 × 23 × 109 × 197
Deficient Even Composite

987,758 has the prime decomposition 2 × 23 × 109 × 197. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 109 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,568,160
Proper Divisor Sum 580,402
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #987739 ← → #987793

Radix Representation

Decimal 987758
Binary 11110001001001101110 (20 bits)
Octal 0o3611156
Hexadecimal 0xF126E

Divisor Catalog (16)

1 2 23 46 109 197 218 394 2,507 4,531 5,014 9,062 21,473 42,946 493,879 987,758

Collatz Trajectory (289 steps to reach 1)

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

987,758 493,879 1,481,638 740,819 2,222,458 1,111,229 3,333,688 1,666,844 833,422 416,711 1,250,134 625,067 1,875,202 937,601 2,812,804 1,406,402 703,201 2,109,604 1,054,802 527,401 1,582,204 791,102 395,551 1,186,654 593,327 1,779,982 889,991 2,669,974 1,334,987 4,004,962 2,002,481 6,007,444 3,003,722 1,501,861 4,505,584 2,252,792 1,126,396 563,198 281,599 844,798 422,399 1,267,198 633,599 1,900,798 950,399 2,851,198 1,425,599 4,276,798 2,138,399 6,415,198 3,207,599 9,622,798 4,811,399 14,434,198 7,217,099 21,651,298 10,825,649 32,476,948 16,238,474 8,119,237

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