λ
Ratio Atlas

9,963,609

3 × 3321203
Deficient Odd Composite

9,963,609 factors as 3 × 3321203. Its 4 positive divisors give a proper-divisor sum of 3,321,207, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3 × 3321203
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,284,816
Proper Divisor Sum 3,321,207
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9963587 ← → #9963641

Radix Representation

Decimal 9963609
Binary 100110000000100001011001 (24 bits)
Octal 0o46004131
Hexadecimal 0x980859

Divisor Catalog (4)

1 3 3,321,203 9,963,609

Collatz Trajectory (163 steps to reach 1)

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

9,963,609 29,890,828 14,945,414 7,472,707 22,418,122 11,209,061 33,627,184 16,813,592 8,406,796 4,203,398 2,101,699 6,305,098 3,152,549 9,457,648 4,728,824 2,364,412 1,182,206 591,103 1,773,310 886,655 2,659,966 1,329,983 3,989,950 1,994,975 5,984,926 2,992,463 8,977,390 4,488,695 13,466,086 6,733,043 20,199,130 10,099,565 30,298,696 15,149,348 7,574,674 3,787,337 11,362,012 5,681,006 2,840,503 8,521,510 4,260,755 12,782,266 6,391,133 19,173,400 9,586,700 4,793,350 2,396,675 7,190,026 3,595,013 10,785,040 5,392,520 2,696,260 1,348,130 674,065 2,022,196 1,011,098 505,549 1,516,648 758,324 379,162

More profiles

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