λ
Integer Codex

2,872,419

3 × 112 × 41 × 193
Deficient Odd Composite

For 2,872,419, the 24 positive divisors have a total of 4,334,736. Removing 2,872,419 leaves 1,462,317, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 11^2 × 41 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,334,736
Proper Divisor Sum 1,462,317
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2872417 ← → #2872423

Radix Representation

Decimal 2872419
Binary 1010111101010001100011 (22 bits)
Octal 0o12752143
Hexadecimal 0x2BD463

Divisor Catalog (5 of 24)

1 3 11 33 41

Collatz Trajectory (205 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.

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