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Atlas › Integer Profiles › Node 9,354,582

9,354,582

2 × 33 × 107 × 1619
Abundant Even Composite

9,354,582 factors as 2 × 3^3 × 107 × 1619. Its 32 positive divisors give a proper-divisor sum of 11,640,618, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 107 × 1619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,995,200
Proper Divisor Sum 11,640,618
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9354581 ← → #9354613

Radix Representation

Decimal 9354582
Binary 100011101011110101010110 (24 bits)
Octal 0o43536526
Hexadecimal 0x8EBD56

Divisor Catalog (32)

1 2 3 6 9 18 27 54 107 214 321 642 963 1,619 1,926 2,889 3,238 4,857 5,778 9,714 14,571 29,142 43,713 87,426 173,233 346,466 519,699 1,039,398 1,559,097 3,118,194 4,677,291 9,354,582

Collatz Trajectory (300 steps to reach 1)

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

9,354,582 4,677,291 14,031,874 7,015,937 21,047,812 10,523,906 5,261,953 15,785,860 7,892,930 3,946,465 11,839,396 5,919,698 2,959,849 8,879,548 4,439,774 2,219,887 6,659,662 3,329,831 9,989,494 4,994,747 14,984,242 7,492,121 22,476,364 11,238,182 5,619,091 16,857,274 8,428,637 25,285,912 12,642,956 6,321,478 3,160,739 9,482,218 4,741,109 14,223,328 7,111,664 3,555,832 1,777,916 888,958 444,479 1,333,438 666,719 2,000,158 1,000,079 3,000,238 1,500,119 4,500,358 2,250,179 6,750,538 3,375,269 10,125,808 5,062,904 2,531,452 1,265,726 632,863 1,898,590 949,295 2,847,886 1,423,943 4,271,830 2,135,915

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