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Atlas › Integer Profiles › Node 2,805,022

2,805,022

2 × 112 × 67 × 173
Deficient Even Composite

2,805,022 factors as 2 × 11^2 × 67 × 173. Its 24 positive divisors give a proper-divisor sum of 1,915,946, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 67 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,720,968
Proper Divisor Sum 1,915,946
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2805001 ← → #2805031

Radix Representation

Decimal 2805022
Binary 1010101100110100011110 (22 bits)
Octal 0o12546436
Hexadecimal 0x2ACD1E

Divisor Catalog (24)

1 2 11 22 67 121 134 173 242 346 737 1,474 1,903 3,806 8,107 11,591 16,214 20,933 23,182 41,866 127,501 255,002 1,402,511 2,805,022

Collatz Trajectory (182 steps to reach 1)

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

2,805,022 1,402,511 4,207,534 2,103,767 6,311,302 3,155,651 9,466,954 4,733,477 14,200,432 7,100,216 3,550,108 1,775,054 887,527 2,662,582 1,331,291 3,993,874 1,996,937 5,990,812 2,995,406 1,497,703 4,493,110 2,246,555 6,739,666 3,369,833 10,109,500 5,054,750 2,527,375 7,582,126 3,791,063 11,373,190 5,686,595 17,059,786 8,529,893 25,589,680 12,794,840 6,397,420 3,198,710 1,599,355 4,798,066 2,399,033 7,197,100 3,598,550 1,799,275 5,397,826 2,698,913 8,096,740 4,048,370 2,024,185 6,072,556 3,036,278 1,518,139 4,554,418 2,277,209 6,831,628 3,415,814 1,707,907 5,123,722 2,561,861 7,685,584 3,842,792

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