λ
Matchaa Zalai

8,417,629

11 × 409 × 1871
Deficient Odd Composite

8,417,629 factors as 11 × 409 × 1871. Its 8 positive divisors give a proper-divisor sum of 792,611, so this integer is deficient. The Collatz stopping time is 199 steps.

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Prime Factor Structure

Factorization String 11 × 409 × 1871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,210,240
Proper Divisor Sum 792,611
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8417623 ← → #8417641

Radix Representation

Decimal 8417629
Binary 100000000111000101011101 (24 bits)
Octal 0o40070535
Hexadecimal 0x80715D

Divisor Catalog (5 of 8)

1 11 409 1,871 4,499

Collatz Trajectory (199 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.

8,417,629 25,252,888 12,626,444 6,313,222 3,156,611

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