λ
Integer Codex

7,809,525

32 × 52 × 61 × 569
Deficient Odd Composite

For 7,809,525, the 36 positive divisors have a total of 14,242,020. Removing 7,809,525 leaves 6,432,495, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 5^2 × 61 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,242,020
Proper Divisor Sum 6,432,495
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7809517 ← → #7809533

Radix Representation

Decimal 7809525
Binary 11101110010100111110101 (23 bits)
Octal 0o35624765
Hexadecimal 0x7729F5

Divisor Catalog (5 of 36)

1 3 5 9 15

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.

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