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Math Directory

2,088,331

72 × 17 × 23 × 109
Deficient Odd Composite

2,088,331 factors as 7^2 × 17 × 23 × 109. Its 24 positive divisors give a proper-divisor sum of 620,309, so this integer is deficient. The Collatz stopping time is 78 steps.

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Prime Factor Structure

Factorization String 7^2 × 17 × 23 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,708,640
Proper Divisor Sum 620,309
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2088329 ← → #2088341

Radix Representation

Decimal 2088331
Binary 111111101110110001011 (21 bits)
Octal 0o7756613
Hexadecimal 0x1FDD8B

Divisor Catalog (5 of 24)

1 7 17 23 49

Collatz Trajectory (78 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

2,088,331 6,264,994 3,132,497 9,397,492 4,698,746

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