λ
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2,661,620

22 × 5 × 13 × 29 × 353
Abundant Even Composite

2,661,620 factors as 2^2 × 5 × 13 × 29 × 353. Its 48 positive divisors give a proper-divisor sum of 3,582,940, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 29 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,244,560
Proper Divisor Sum 3,582,940
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2661611 ← → #2661641

Radix Representation

Decimal 2661620
Binary 1010001001110011110100 (22 bits)
Octal 0o12116364
Hexadecimal 0x289CF4

Divisor Catalog (48)

1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 353 377 580 706 754 1,412 1,508 1,765 1,885 3,530 3,770 4,589 7,060 7,540 9,178 10,237 18,356 20,474 22,945 40,948 45,890 51,185 91,780 102,370 133,081 204,740 266,162 532,324 665,405 1,330,810 2,661,620

Collatz Trajectory (143 steps to reach 1)

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

2,661,620 1,330,810 665,405 1,996,216 998,108 499,054 249,527 748,582 374,291 1,122,874 561,437 1,684,312 842,156 421,078 210,539 631,618 315,809 947,428 473,714 236,857 710,572 355,286 177,643 532,930 266,465 799,396 399,698 199,849 599,548 299,774 149,887 449,662 224,831 674,494 337,247 1,011,742 505,871 1,517,614 758,807 2,276,422 1,138,211 3,414,634 1,707,317 5,121,952 2,560,976 1,280,488 640,244 320,122 160,061 480,184 240,092 120,046 60,023 180,070 90,035 270,106 135,053 405,160 202,580 101,290

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