λ
Matchaa Zalai

7,800,065

5 × 72 × 13 × 31 × 79
Deficient Odd Composite

7,800,065 factors as 5 × 7^2 × 13 × 31 × 79. Its 48 positive divisors give a proper-divisor sum of 4,457,215, so this integer is deficient. The Collatz stopping time is 124 steps.

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Prime Factor Structure

Factorization String 5 × 7^2 × 13 × 31 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 4,457,215
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7800053 ← → #7800077

Radix Representation

Decimal 7800065
Binary 11101110000010100000001 (23 bits)
Octal 0o35602401
Hexadecimal 0x770501

Divisor Catalog (5 of 48)

1 5 7 13 31

Collatz Trajectory (124 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.

7,800,065 23,400,196 11,700,098 5,850,049 17,550,148

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