λ
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Atlas › Integer Profiles › Node 9,608,599

9,608,599

7 × 11 × 13 × 29 × 331
Deficient Odd Composite

9,608,599 factors as 7 × 11 × 13 × 29 × 331. Its 32 positive divisors give a proper-divisor sum of 3,777,641, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 29 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,386,240
Proper Divisor Sum 3,777,641
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9608581 ← → #9608609

Radix Representation

Decimal 9608599
Binary 100100101001110110010111 (24 bits)
Octal 0o44516627
Hexadecimal 0x929D97

Divisor Catalog (32)

1 7 11 13 29 77 91 143 203 319 331 377 1,001 2,233 2,317 2,639 3,641 4,147 4,303 9,599 25,487 29,029 30,121 47,333 67,193 105,589 124,787 331,331 739,123 873,509 1,372,657 9,608,599

Collatz Trajectory (176 steps to reach 1)

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

9,608,599 28,825,798 14,412,899 43,238,698 21,619,349 64,858,048 32,429,024 16,214,512 8,107,256 4,053,628 2,026,814 1,013,407 3,040,222 1,520,111 4,560,334 2,280,167 6,840,502 3,420,251 10,260,754 5,130,377 15,391,132 7,695,566 3,847,783 11,543,350 5,771,675 17,315,026 8,657,513 25,972,540 12,986,270 6,493,135 19,479,406 9,739,703 29,219,110 14,609,555 43,828,666 21,914,333 65,743,000 32,871,500 16,435,750 8,217,875 24,653,626 12,326,813 36,980,440 18,490,220 9,245,110 4,622,555 13,867,666 6,933,833 20,801,500 10,400,750 5,200,375 15,601,126 7,800,563 23,401,690 11,700,845 35,102,536 17,551,268 8,775,634 4,387,817 13,163,452

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