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Atlas › Integer Profiles › Node 2,883,800

2,883,800

23 × 52 × 14419
Abundant Even Composite

2,883,800 factors as 2^3 × 5^2 × 14419. Its 24 positive divisors give a proper-divisor sum of 3,821,500, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 14419
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,705,300
Proper Divisor Sum 3,821,500
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2883799 ← → #2883823

Radix Representation

Decimal 2883800
Binary 1011000000000011011000 (22 bits)
Octal 0o13000330
Hexadecimal 0x2C00D8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 14,419 28,838 57,676 72,095 115,352 144,190 288,380 360,475 576,760 720,950 1,441,900 2,883,800

Collatz Trajectory (125 steps to reach 1)

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

2,883,800 1,441,900 720,950 360,475 1,081,426 540,713 1,622,140 811,070 405,535 1,216,606 608,303 1,824,910 912,455 2,737,366 1,368,683 4,106,050 2,053,025 6,159,076 3,079,538 1,539,769 4,619,308 2,309,654 1,154,827 3,464,482 1,732,241 5,196,724 2,598,362 1,299,181 3,897,544 1,948,772 974,386 487,193 1,461,580 730,790 365,395 1,096,186 548,093 1,644,280 822,140 411,070 205,535 616,606 308,303 924,910 462,455 1,387,366 693,683 2,081,050 1,040,525 3,121,576 1,560,788 780,394 390,197 1,170,592 585,296 292,648 146,324 73,162 36,581 109,744

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