λ
Math Directory

2,725,191

33 × 7 × 14419
Deficient Odd Composite

2,725,191 factors as 3^3 × 7 × 14419. Its 16 positive divisors give a proper-divisor sum of 1,889,209, so this integer is deficient. The Collatz stopping time is 156 steps.

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Prime Factor Structure

Factorization String 3^3 × 7 × 14419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,614,400
Proper Divisor Sum 1,889,209
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2725187 ← → #2725199

Radix Representation

Decimal 2725191
Binary 1010011001010101000111 (22 bits)
Octal 0o12312507
Hexadecimal 0x299547

Divisor Catalog (5 of 16)

1 3 7 9 21

Collatz Trajectory (156 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.

2,725,191 8,175,574 4,087,787 12,263,362 6,131,681

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