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Math Directory

6,121,791

33 × 13 × 107 × 163
Deficient Odd Composite

6,121,791 factors as 3^3 × 13 × 107 × 163. Its 32 positive divisors give a proper-divisor sum of 3,796,929, so this integer is deficient. The Collatz stopping time is 240 steps.

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Prime Factor Structure

Factorization String 3^3 × 13 × 107 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,918,720
Proper Divisor Sum 3,796,929
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6121771 ← → #6121793

Radix Representation

Decimal 6121791
Binary 10111010110100100111111 (23 bits)
Octal 0o27264477
Hexadecimal 0x5D693F

Divisor Catalog (5 of 32)

1 3 9 13 27

Collatz Trajectory (240 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.

6,121,791 18,365,374 9,182,687 27,548,062 13,774,031

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