λ
Prime Ledger

252,932

22 × 37 × 1709
Deficient Even Composite

252,932 has the prime decomposition 2^2 × 37 × 1709. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 1709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 454,860
Proper Divisor Sum 201,928
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #252919 ← → #252937

Radix Representation

Decimal 252932
Binary 111101110000000100 (18 bits)
Octal 0o756004
Hexadecimal 0x3DC04

Divisor Catalog (12)

1 2 4 37 74 148 1,709 3,418 6,836 63,233 126,466 252,932

Collatz Trajectory (44 steps to reach 1)

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

252,932 126,466 63,233 189,700 94,850 47,425 142,276 71,138 35,569 106,708 53,354 26,677 80,032 40,016 20,008 10,004 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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