λ
Prime Ledger

52,771

113 × 467
Deficient Odd Composite

52,771 has the prime decomposition 113 × 467. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 113 × 467
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 53,352
Proper Divisor Sum 581
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #52769 ← → #52783

Radix Representation

Decimal 52771
Binary 1100111000100011 (16 bits)
Octal 0o147043
Hexadecimal 0xCE23

Divisor Catalog (4)

1 113 467 52,771

Collatz Trajectory (127 steps to reach 1)

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

52,771 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076

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