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Atlas › Integer Profiles › Node 2,807,750

2,807,750

2 × 53 × 11 × 1021
Abundant Even Composite

2,807,750 factors as 2 × 5^3 × 11 × 1021. Its 32 positive divisors give a proper-divisor sum of 2,931,802, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 11 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,739,552
Proper Divisor Sum 2,931,802
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2807741 ← → #2807767

Radix Representation

Decimal 2807750
Binary 1010101101011111000110 (22 bits)
Octal 0o12553706
Hexadecimal 0x2AD7C6

Divisor Catalog (32)

1 2 5 10 11 22 25 50 55 110 125 250 275 550 1,021 1,375 2,042 2,750 5,105 10,210 11,231 22,462 25,525 51,050 56,155 112,310 127,625 255,250 280,775 561,550 1,403,875 2,807,750

Collatz Trajectory (169 steps to reach 1)

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

2,807,750 1,403,875 4,211,626 2,105,813 6,317,440 3,158,720 1,579,360 789,680 394,840 197,420 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83

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