λ
Sequence Observatory

2,868,126

2 × 3 × 19 × 139 × 181
Abundant Even Composite

Starting at 2,868,126, the Collatz iteration reaches 1 after 81 steps. The first transition is 1434063; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 139 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,115,200
Proper Divisor Sum 3,247,074
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2868119 ← → #2868137

Radix Representation

Decimal 2868126
Binary 1010111100001110011110 (22 bits)
Octal 0o12741636
Hexadecimal 0x2BC39E

Divisor Catalog (32)

1 2 3 6 19 38 57 114 139 181 278 362 417 543 834 1,086 2,641 3,439 5,282 6,878 7,923 10,317 15,846 20,634 25,159 50,318 75,477 150,954 478,021 956,042 1,434,063 2,868,126

Collatz Trajectory (81 steps to reach 1)

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

2,868,126 1,434,063 4,302,190 2,151,095 6,453,286 3,226,643 9,679,930 4,839,965 14,519,896 7,259,948 3,629,974 1,814,987 5,444,962 2,722,481 8,167,444 4,083,722 2,041,861 6,125,584 3,062,792 1,531,396 765,698 382,849 1,148,548 574,274 287,137 861,412 430,706 215,353 646,060 323,030 161,515 484,546 242,273 726,820 363,410 181,705 545,116 272,558 136,279 408,838 204,419 613,258 306,629 919,888 459,944 229,972 114,986 57,493 172,480 86,240 43,120 21,560 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196

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