λ
Prime Ledger

331,348

22 × 82837
Deficient Even Composite

331,348 has the prime decomposition 2^2 × 82837. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 82837
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 579,866
Proper Divisor Sum 248,518
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #331339 ← → #331349

Radix Representation

Decimal 331348
Binary 1010000111001010100 (19 bits)
Octal 0o1207124
Hexadecimal 0x50E54

Divisor Catalog (6)

1 2 4 82,837 165,674 331,348

Collatz Trajectory (60 steps to reach 1)

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

331,348 165,674 82,837 248,512 124,256 62,128 31,064 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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