λ
Sequence Observatory

2,135,622

2 × 3 × 355937
Abundant Even Composite

Starting at 2,135,622, the Collatz iteration reaches 1 after 122 steps. The first transition is 1067811; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 355937
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,271,256
Proper Divisor Sum 2,135,634
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2135611 ← → #2135641

Radix Representation

Decimal 2135622
Binary 1000001001011001000110 (22 bits)
Octal 0o10113106
Hexadecimal 0x209646

Divisor Catalog (8)

1 2 3 6 355,937 711,874 1,067,811 2,135,622

Collatz Trajectory (122 steps to reach 1)

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

2,135,622 1,067,811 3,203,434 1,601,717 4,805,152 2,402,576 1,201,288 600,644 300,322 150,161 450,484 225,242 112,621 337,864 168,932 84,466 42,233 126,700 63,350 31,675 95,026 47,513 142,540 71,270 35,635 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266

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