λ
Match Zalai

7,842,659

11 × 31 × 109 × 211
Deficient Odd Composite

7,842,659 factors as 11 × 31 × 109 × 211. Its 16 positive divisors give a proper-divisor sum of 1,112,221, so this integer is deficient. The Collatz stopping time is 93 steps.

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Prime Factor Structure

Factorization String 11 × 31 × 109 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,954,880
Proper Divisor Sum 1,112,221
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7842643 ← → #7842677

Radix Representation

Decimal 7842659
Binary 11101111010101101100011 (23 bits)
Octal 0o35725543
Hexadecimal 0x77AB63

Divisor Catalog (5 of 16)

1 11 31 109 211

Collatz Trajectory (93 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.

7,842,659 23,527,978 11,763,989 35,291,968 17,645,984

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