λ
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2,995,434

2 × 33 × 13 × 17 × 251
Abundant Even Composite

2,995,434 factors as 2 × 3^3 × 13 × 17 × 251. Its 64 positive divisors give a proper-divisor sum of 4,625,046, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 17 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,620,480
Proper Divisor Sum 4,625,046
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2995427 ← → #2995459

Radix Representation

Decimal 2995434
Binary 1011011011010011101010 (22 bits)
Octal 0o13332352
Hexadecimal 0x2DB4EA

Divisor Catalog (60 of 64)

1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 251 306 351 442 459 502 663 702 753 918 1,326 1,506 1,989 2,259 3,263 3,978 4,267 4,518 5,967 6,526 6,777 8,534 9,789 11,934 12,801 13,554 19,578 25,602 29,367 38,403 55,471 58,734 76,806 88,101 110,942 115,209 166,413 176,202 230,418 332,826

Collatz Trajectory (213 steps to reach 1)

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

2,995,434 1,497,717 4,493,152 2,246,576 1,123,288 561,644 280,822 140,411 421,234 210,617 631,852 315,926 157,963 473,890 236,945 710,836 355,418 177,709 533,128 266,564 133,282 66,641 199,924 99,962 49,981 149,944 74,972 37,486 18,743 56,230 28,115 84,346 42,173 126,520 63,260 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006

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