λ
Sequence Observatory

4,950,012

22 × 3 × 41 × 10061
Abundant Even Composite

Starting at 4,950,012, the Collatz iteration reaches 1 after 206 steps. The first transition is 2475006; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 10061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,832,912
Proper Divisor Sum 6,882,900
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4949983 ← → #4950067

Radix Representation

Decimal 4950012
Binary 10010111000011111111100 (23 bits)
Octal 0o22703774
Hexadecimal 0x4B87FC

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 10,061 20,122 30,183 40,244 60,366 120,732 412,501 825,002 1,237,503 1,650,004 2,475,006 4,950,012

Collatz Trajectory (206 steps to reach 1)

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

4,950,012 2,475,006 1,237,503 3,712,510 1,856,255 5,568,766 2,784,383 8,353,150 4,176,575 12,529,726 6,264,863 18,794,590 9,397,295 28,191,886 14,095,943 42,287,830 21,143,915 63,431,746 31,715,873 95,147,620 47,573,810 23,786,905 71,360,716 35,680,358 17,840,179 53,520,538 26,760,269 80,280,808 40,140,404 20,070,202 10,035,101 30,105,304 15,052,652 7,526,326 3,763,163 11,289,490 5,644,745 16,934,236 8,467,118 4,233,559 12,700,678 6,350,339 19,051,018 9,525,509 28,576,528 14,288,264 7,144,132 3,572,066 1,786,033 5,358,100 2,679,050 1,339,525 4,018,576 2,009,288 1,004,644 502,322 251,161 753,484 376,742 188,371

More profiles

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