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Atlas › Integer Profiles › Node 2,632,722

2,632,722

2 × 3 × 17 × 53 × 487
Abundant Even Composite

2,632,722 factors as 2 × 3 × 17 × 53 × 487. Its 32 positive divisors give a proper-divisor sum of 3,059,310, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 53 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,692,032
Proper Divisor Sum 3,059,310
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2632717 ← → #2632723

Radix Representation

Decimal 2632722
Binary 1010000010110000010010 (22 bits)
Octal 0o12026022
Hexadecimal 0x282C12

Divisor Catalog (32)

1 2 3 6 17 34 51 53 102 106 159 318 487 901 974 1,461 1,802 2,703 2,922 5,406 8,279 16,558 24,837 25,811 49,674 51,622 77,433 154,866 438,787 877,574 1,316,361 2,632,722

Collatz Trajectory (143 steps to reach 1)

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

2,632,722 1,316,361 3,949,084 1,974,542 987,271 2,961,814 1,480,907 4,442,722 2,221,361 6,664,084 3,332,042 1,666,021 4,998,064 2,499,032 1,249,516 624,758 312,379 937,138 468,569 1,405,708 702,854 351,427 1,054,282 527,141 1,581,424 790,712 395,356 197,678 98,839 296,518 148,259 444,778 222,389 667,168 333,584 166,792 83,396 41,698 20,849 62,548 31,274 15,637 46,912 23,456 11,728 5,864 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466

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