λ
Match Zalai

2,186,997

3 × 89 × 8191
Deficient Odd Composite

2,186,997 factors as 3 × 89 × 8191. Its 8 positive divisors give a proper-divisor sum of 762,123, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 3 × 89 × 8191
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,949,120
Proper Divisor Sum 762,123
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2186993 ← → #2187011

Radix Representation

Decimal 2186997
Binary 1000010101111011110101 (22 bits)
Octal 0o10257365
Hexadecimal 0x215EF5

Divisor Catalog (8)

1 3 89 267 8,191 24,573 728,999 2,186,997

Collatz Trajectory (86 steps to reach 1)

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

2,186,997 6,560,992 3,280,496 1,640,248 820,124 410,062 205,031 615,094 307,547 922,642 461,321 1,383,964 691,982 345,991 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722 583,861 1,751,584 875,792 437,896 218,948 109,474 54,737 164,212 82,106 41,053 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65

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