λ
Sequence Observatory

2,230,110

2 × 32 × 5 × 71 × 349
Abundant Even Composite

Starting at 2,230,110, the Collatz iteration reaches 1 after 179 steps. The first transition is 1115055; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 71 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,896,800
Proper Divisor Sum 3,666,690
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #2230097 ← → #2230117

Radix Representation

Decimal 2230110
Binary 1000100000011101011110 (22 bits)
Octal 0o10403536
Hexadecimal 0x22075E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 349 355 426 639 698 710 1,047 1,065 1,278 1,745 2,094 2,130 3,141 3,195 3,490 5,235 6,282 6,390 10,470 15,705 24,779 31,410 49,558 74,337 123,895 148,674 223,011 247,790 371,685 446,022 743,370 1,115,055 2,230,110

Collatz Trajectory (179 steps to reach 1)

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

2,230,110 1,115,055 3,345,166 1,672,583 5,017,750 2,508,875 7,526,626 3,763,313 11,289,940 5,644,970 2,822,485 8,467,456 4,233,728 2,116,864 1,058,432 529,216 264,608 132,304 66,152 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369

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