λ
Math Directory

7,788,232

23 × 973529
Deficient Even Composite

7,788,232 factors as 2^3 × 973529. Its 8 positive divisors give a proper-divisor sum of 6,814,718, so this integer is deficient. The Collatz stopping time is 80 steps.

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Prime Factor Structure

Factorization String 2^3 × 973529
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,602,950
Proper Divisor Sum 6,814,718
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7788199 ← → #7788247

Radix Representation

Decimal 7788232
Binary 11101101101011011001000 (23 bits)
Octal 0o35553310
Hexadecimal 0x76D6C8

Divisor Catalog (5 of 8)

1 2 4 8 973,529

Collatz Trajectory (80 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.

7,788,232 3,894,116 1,947,058 973,529 2,920,588

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