λ
Integer Codex

7,001,753

11 × 31 × 20533
Deficient Odd Composite

For 7,001,753, the 8 positive divisors have a total of 7,885,056. Removing 7,001,753 leaves 883,303, which gives the deficient classification.

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Prime Factor Structure

Factorization String 11 × 31 × 20533
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,885,056
Proper Divisor Sum 883,303
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7001723 ← → #7001767

Radix Representation

Decimal 7001753
Binary 11010101101011010011001 (23 bits)
Octal 0o32553231
Hexadecimal 0x6AD699

Divisor Catalog (5 of 8)

1 11 31 341 20,533

Collatz Trajectory (160 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.

7,001,753 21,005,260 10,502,630 5,251,315 15,753,946

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