λ
Prime Ledger

162,832

24 × 10177
Deficient Even Composite

162,832 has the prime decomposition 2^4 × 10177. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 10177
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 315,518
Proper Divisor Sum 152,686
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #162829 ← → #162839

Radix Representation

Decimal 162832
Binary 100111110000010000 (18 bits)
Octal 0o476020
Hexadecimal 0x27C10

Divisor Catalog (10)

1 2 4 8 16 10,177 20,354 40,708 81,416 162,832

Collatz Trajectory (38 steps to reach 1)

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

162,832 81,416 40,708 20,354 10,177 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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