λ
Harmonic Matrix

2,206,217

13 × 169709
Deficient Odd Composite

2,206,217 has digital root 2. The neighboring primes are 2206207 and 2206219; its proper-divisor sum differs from the starting integer by -2,036,494.

Prime Factor Structure

Factorization String 13 × 169709
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,375,940
Proper Divisor Sum 169,723
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2206207 ← → #2206219

Radix Representation

Decimal 2206217
Binary 1000011010101000001001 (22 bits)
Octal 0o10325011
Hexadecimal 0x21AA09

Divisor Catalog (4)

1 13 169,709 2,206,217

Collatz Trajectory (86 steps to reach 1)

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

2,206,217 6,618,652 3,309,326 1,654,663 4,963,990 2,481,995 7,445,986 3,722,993 11,168,980 5,584,490 2,792,245 8,376,736 4,188,368 2,094,184 1,047,092 523,546 261,773 785,320 392,660 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65

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