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Atlas › Integer Profiles › Node 2,803,740

2,803,740

22 × 3 × 5 × 83 × 563
Abundant Even Composite

2,803,740 factors as 2^2 × 3 × 5 × 83 × 563. Its 48 positive divisors give a proper-divisor sum of 5,155,428, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 83 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,959,168
Proper Divisor Sum 5,155,428
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2803727 ← → #2803741

Radix Representation

Decimal 2803740
Binary 1010101100100000011100 (22 bits)
Octal 0o12544034
Hexadecimal 0x2AC81C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 563 830 996 1,126 1,245 1,660 1,689 2,252 2,490 2,815 3,378 4,980 5,630 6,756 8,445 11,260 16,890 33,780 46,729 93,458 140,187 186,916 233,645 280,374 467,290 560,748 700,935 934,580 1,401,870 2,803,740

Collatz Trajectory (130 steps to reach 1)

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

2,803,740 1,401,870 700,935 2,102,806 1,051,403 3,154,210 1,577,105 4,731,316 2,365,658 1,182,829 3,548,488 1,774,244 887,122 443,561 1,330,684 665,342 332,671 998,014 499,007 1,497,022 748,511 2,245,534 1,122,767 3,368,302 1,684,151 5,052,454 2,526,227 7,578,682 3,789,341 11,368,024 5,684,012 2,842,006 1,421,003 4,263,010 2,131,505 6,394,516 3,197,258 1,598,629 4,795,888 2,397,944 1,198,972 599,486 299,743 899,230 449,615 1,348,846 674,423 2,023,270 1,011,635 3,034,906 1,517,453 4,552,360 2,276,180 1,138,090 569,045 1,707,136 853,568 426,784 213,392 106,696

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