λ
Prime Ledger

9,730,662

2 × 3 × 691 × 2347
Abundant Even Composite

9,730,662 has the prime decomposition 2 × 3 × 691 × 2347. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 691 × 2347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,497,792
Proper Divisor Sum 9,767,130
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9730657 ← → #9730673

Radix Representation

Decimal 9730662
Binary 100101000111101001100110 (24 bits)
Octal 0o45075146
Hexadecimal 0x947A66

Divisor Catalog (16)

1 2 3 6 691 1,382 2,073 2,347 4,146 4,694 7,041 14,082 1,621,777 3,243,554 4,865,331 9,730,662

Collatz Trajectory (114 steps to reach 1)

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

9,730,662 4,865,331 14,595,994 7,297,997 21,893,992 10,946,996 5,473,498 2,736,749 8,210,248 4,105,124 2,052,562 1,026,281 3,078,844 1,539,422 769,711 2,309,134 1,154,567 3,463,702 1,731,851 5,195,554 2,597,777 7,793,332 3,896,666 1,948,333 5,845,000 2,922,500 1,461,250 730,625 2,191,876 1,095,938 547,969 1,643,908 821,954 410,977 1,232,932 616,466 308,233 924,700 462,350 231,175 693,526 346,763 1,040,290 520,145 1,560,436 780,218 390,109 1,170,328 585,164 292,582 146,291 438,874 219,437 658,312 329,156 164,578 82,289 246,868 123,434 61,717

More profiles

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