λ
Math Directory

9,560,045

5 × 11 × 173819
Deficient Odd Composite

9,560,045 factors as 5 × 11 × 173819. Its 8 positive divisors give a proper-divisor sum of 2,954,995, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 5 × 11 × 173819
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,515,040
Proper Divisor Sum 2,954,995
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9560041 ← → #9560051

Radix Representation

Decimal 9560045
Binary 100100011101111111101101 (24 bits)
Octal 0o44357755
Hexadecimal 0x91DFED

Divisor Catalog (8)

1 5 11 55 173,819 869,095 1,912,009 9,560,045

Collatz Trajectory (194 steps to reach 1)

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

9,560,045 28,680,136 14,340,068 7,170,034 3,585,017 10,755,052 5,377,526 2,688,763 8,066,290 4,033,145 12,099,436 6,049,718 3,024,859 9,074,578 4,537,289 13,611,868 6,805,934 3,402,967 10,208,902 5,104,451 15,313,354 7,656,677 22,970,032 11,485,016 5,742,508 2,871,254 1,435,627 4,306,882 2,153,441 6,460,324 3,230,162 1,615,081 4,845,244 2,422,622 1,211,311 3,633,934 1,816,967 5,450,902 2,725,451 8,176,354 4,088,177 12,264,532 6,132,266 3,066,133 9,198,400 4,599,200 2,299,600 1,149,800 574,900 287,450 143,725 431,176 215,588 107,794 53,897 161,692 80,846 40,423 121,270 60,635

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