λ
Prime Ledger

32,954

2 × 16477
Deficient Even Composite

32,954 has the prime decomposition 2 × 16477. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 16477
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 49,434
Proper Divisor Sum 16,480
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #32941 ← → #32957

Radix Representation

Decimal 32954
Binary 1000000010111010 (16 bits)
Octal 0o100272
Hexadecimal 0x80BA

Divisor Catalog (4)

1 2 16,477 32,954

Collatz Trajectory (41 steps to reach 1)

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

32,954 16,477 49,432 24,716 12,358 6,179 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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