λ
Harmonic Matrix

48,308

22 × 13 × 929
Deficient Even Composite

48,308 has digital root 5. The neighboring primes are 48299 and 48311; its proper-divisor sum differs from the starting integer by -5,476.

Prime Factor Structure

Factorization String 2^2 × 13 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 91,140
Proper Divisor Sum 42,832
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #48299 ← → #48311

Radix Representation

Decimal 48308
Binary 1011110010110100 (16 bits)
Octal 0o136264
Hexadecimal 0xBCB4

Divisor Catalog (12)

1 2 4 13 26 52 929 1,858 3,716 12,077 24,154 48,308

Collatz Trajectory (70 steps to reach 1)

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

48,308 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53

More profiles

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