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Atlas › Integer Profiles › Node 2,813,960

2,813,960

23 × 5 × 103 × 683
Abundant Even Composite

2,813,960 factors as 2^3 × 5 × 103 × 683. Its 32 positive divisors give a proper-divisor sum of 3,588,280, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 103 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,402,240
Proper Divisor Sum 3,588,280
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2813947 ← → #2813969

Radix Representation

Decimal 2813960
Binary 1010101111000000001000 (22 bits)
Octal 0o12570010
Hexadecimal 0x2AF008

Divisor Catalog (32)

1 2 4 5 8 10 20 40 103 206 412 515 683 824 1,030 1,366 2,060 2,732 3,415 4,120 5,464 6,830 13,660 27,320 70,349 140,698 281,396 351,745 562,792 703,490 1,406,980 2,813,960

Collatz Trajectory (182 steps to reach 1)

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

2,813,960 1,406,980 703,490 351,745 1,055,236 527,618 263,809 791,428 395,714 197,857 593,572 296,786 148,393 445,180 222,590 111,295 333,886 166,943 500,830 250,415 751,246 375,623 1,126,870 563,435 1,690,306 845,153 2,535,460 1,267,730 633,865 1,901,596 950,798 475,399 1,426,198 713,099 2,139,298 1,069,649 3,208,948 1,604,474 802,237 2,406,712 1,203,356 601,678 300,839 902,518 451,259 1,353,778 676,889 2,030,668 1,015,334 507,667 1,523,002 761,501 2,284,504 1,142,252 571,126 285,563 856,690 428,345 1,285,036 642,518

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