λ
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2,690,780

22 × 5 × 19 × 73 × 97
Abundant Even Composite

2,690,780 factors as 2^2 × 5 × 19 × 73 × 97. Its 48 positive divisors give a proper-divisor sum of 3,400,900, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 73 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,091,680
Proper Divisor Sum 3,400,900
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2690773 ← → #2690783

Radix Representation

Decimal 2690780
Binary 1010010000111011011100 (22 bits)
Octal 0o12207334
Hexadecimal 0x290EDC

Divisor Catalog (48)

1 2 4 5 10 19 20 38 73 76 95 97 146 190 194 292 365 380 388 485 730 970 1,387 1,460 1,843 1,940 2,774 3,686 5,548 6,935 7,081 7,372 9,215 13,870 14,162 18,430 27,740 28,324 35,405 36,860 70,810 134,539 141,620 269,078 538,156 672,695 1,345,390 2,690,780

Collatz Trajectory (125 steps to reach 1)

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

2,690,780 1,345,390 672,695 2,018,086 1,009,043 3,027,130 1,513,565 4,540,696 2,270,348 1,135,174 567,587 1,702,762 851,381 2,554,144 1,277,072 638,536 319,268 159,634 79,817 239,452 119,726 59,863 179,590 89,795 269,386 134,693 404,080 202,040 101,020 50,510 25,255 75,766 37,883 113,650 56,825 170,476 85,238 42,619 127,858 63,929 191,788 95,894 47,947 143,842 71,921 215,764 107,882 53,941 161,824 80,912 40,456 20,228 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845

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