λ
Sequence Observatory

3,061,926

2 × 32 × 7 × 19 × 1279
Abundant Even Composite

Starting at 3,061,926, the Collatz iteration reaches 1 after 164 steps. The first transition is 1530963; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 19 × 1279
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,987,200
Proper Divisor Sum 4,925,274
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3061913 ← → #3061931

Radix Representation

Decimal 3061926
Binary 1011101011100010100110 (22 bits)
Octal 0o13534246
Hexadecimal 0x2EB8A6

Divisor Catalog (48)

1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1,197 1,279 2,394 2,558 3,837 7,674 8,953 11,511 17,906 23,022 24,301 26,859 48,602 53,718 72,903 80,577 145,806 161,154 170,107 218,709 340,214 437,418 510,321 1,020,642 1,530,963 3,061,926

Collatz Trajectory (164 steps to reach 1)

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

3,061,926 1,530,963 4,592,890 2,296,445 6,889,336 3,444,668 1,722,334 861,167 2,583,502 1,291,751 3,875,254 1,937,627 5,812,882 2,906,441 8,719,324 4,359,662 2,179,831 6,539,494 3,269,747 9,809,242 4,904,621 14,713,864 7,356,932 3,678,466 1,839,233 5,517,700 2,758,850 1,379,425 4,138,276 2,069,138 1,034,569 3,103,708 1,551,854 775,927 2,327,782 1,163,891 3,491,674 1,745,837 5,237,512 2,618,756 1,309,378 654,689 1,964,068 982,034 491,017 1,473,052 736,526 368,263 1,104,790 552,395 1,657,186 828,593 2,485,780 1,242,890 621,445 1,864,336 932,168 466,084 233,042 116,521

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