λ
Integer Codex

7,200,809

7 × 11 × 17 × 5501
Deficient Odd Composite

For 7,200,809, the 16 positive divisors have a total of 9,507,456. Removing 7,200,809 leaves 2,306,647, which gives the deficient classification.

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Prime Factor Structure

Factorization String 7 × 11 × 17 × 5501
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,507,456
Proper Divisor Sum 2,306,647
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7200803 ← → #7200811

Radix Representation

Decimal 7200809
Binary 11011011110000000101001 (23 bits)
Octal 0o33360051
Hexadecimal 0x6DE029

Divisor Catalog (5 of 16)

1 7 11 17 77

Collatz Trajectory (253 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.

7,200,809 21,602,428 10,801,214 5,400,607 16,201,822

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