λ
Prime Ledger

31,604

22 × 7901
Deficient Even Composite

31,604 has the prime decomposition 2^2 × 7901. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7901
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 55,314
Proper Divisor Sum 23,710
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #31601 ← → #31607

Radix Representation

Decimal 31604
Binary 111101101110100 (15 bits)
Octal 0o75564
Hexadecimal 0x7B74

Divisor Catalog (6)

1 2 4 7,901 15,802 31,604

Collatz Trajectory (41 steps to reach 1)

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

31,604 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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