λ
Integer Codex

4,967,001

34 × 13 × 53 × 89
Deficient Odd Composite

For 4,967,001, the 40 positive divisors have a total of 8,232,840. Removing 4,967,001 leaves 3,265,839, which gives the deficient classification.

Resources

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Prime Factor Structure

Factorization String 3^4 × 13 × 53 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,232,840
Proper Divisor Sum 3,265,839
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4966979 ← → #4967023

Radix Representation

Decimal 4967001
Binary 10010111100101001011001 (23 bits)
Octal 0o22745131
Hexadecimal 0x4BCA59

Divisor Catalog (5 of 40)

1 3 9 13 27

Collatz Trajectory (87 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.

4,967,001 14,901,004 7,450,502 3,725,251 11,175,754

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