λ
Sigma Notebook

2,198,046

2 × 3 × 366341
Abundant Even Composite

2,198,046 is even and not a perfect square. Its factorization is 2 × 3 × 366341 and its 8 divisors sum to 4,396,104.

Prime Factor Structure

Factorization String 2 × 3 × 366341
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,396,104
Proper Divisor Sum 2,198,058
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2198039 ← → #2198057

Radix Representation

Decimal 2198046
Binary 1000011000101000011110 (22 bits)
Octal 0o10305036
Hexadecimal 0x218A1E

Divisor Catalog (8)

1 2 3 6 366,341 732,682 1,099,023 2,198,046

Collatz Trajectory (179 steps to reach 1)

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

2,198,046 1,099,023 3,297,070 1,648,535 4,945,606 2,472,803 7,418,410 3,709,205 11,127,616 5,563,808 2,781,904 1,390,952 695,476 347,738 173,869 521,608 260,804 130,402 65,201 195,604 97,802 48,901 146,704 73,352 36,676 18,338 9,169 27,508 13,754 6,877 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388

More profiles

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