λ
Integer Codex

7,200,893

72 × 223 × 659
Deficient Odd Composite

For 7,200,893, the 12 positive divisors have a total of 8,426,880. Removing 7,200,893 leaves 1,225,987, which gives the deficient classification.

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Prime Factor Structure

Factorization String 7^2 × 223 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,426,880
Proper Divisor Sum 1,225,987
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7200889 ← → #7200899

Radix Representation

Decimal 7200893
Binary 11011011110000001111101 (23 bits)
Octal 0o33360175
Hexadecimal 0x6DE07D

Divisor Catalog (5 of 12)

1 7 49 223 659

Collatz Trajectory (116 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.

7,200,893 21,602,680 10,801,340 5,400,670 2,700,335

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