λ
Zalai Atlas

33,242

2 × 11 × 1511
Deficient Even Composite

33,242 has the prime decomposition 2 × 11 × 1511. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 1511
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 54,432
Proper Divisor Sum 21,190
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #33223 ← → #33247

Radix Representation

Decimal 33242
Binary 1000000111011010 (16 bits)
Octal 0o100732
Hexadecimal 0x81DA

Divisor Catalog (8)

1 2 11 22 1,511 3,022 16,621 33,242

Collatz Trajectory (67 steps to reach 1)

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

33,242 16,621 49,864 24,932 12,466 6,233 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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