33,062

2 × 61 × 271

33,062 factors as 2 × 61 × 271. Its 8 positive divisors give a proper-divisor sum of 17,530, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 61 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 50,592

Proper Divisor Sum 17,530

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #33053 ← → #33071

Radix Representation

Decimal	33062
Binary	1000000100100110 (16 bits)
Octal	0o100446
Hexadecimal	0x8126

Divisor Catalog (8)

1 2 61 122 271 542 16,531 33,062

Collatz Trajectory (142 steps to reach 1)

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

33,062 16,531 49,594 24,797 74,392 37,196 18,598 9,299 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558

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