λ
Integer Codex

78,225

3 × 52 × 7 × 149
Deficient Odd Composite

For 78,225, the 24 positive divisors have a total of 148,800. Removing 78,225 leaves 70,575, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 148,800
Proper Divisor Sum 70,575
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #78203 ← → #78229

Radix Representation

Decimal 78225
Binary 10011000110010001 (17 bits)
Octal 0o230621
Hexadecimal 0x13191

Divisor Catalog (24)

Collatz Trajectory (50 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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