λ
Math Directory

48,932

22 × 13 × 941
Deficient Even Composite

48,932 factors as 2^2 × 13 × 941. Its 12 positive divisors give a proper-divisor sum of 43,384, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 92,316
Proper Divisor Sum 43,384
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #48907 ← → #48947

Radix Representation

Decimal 48932
Binary 1011111100100100 (16 bits)
Octal 0o137444
Hexadecimal 0xBF24

Divisor Catalog (12)

1 2 4 13 26 52 941 1,882 3,764 12,233 24,466 48,932

Collatz Trajectory (127 steps to reach 1)

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

48,932 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865

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