λ
Prime Ledger

50,627

50627
Deficient Odd Prime

50,627 has the prime decomposition 50627. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 50627
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 50,628
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #50599 ← → #50647

Radix Representation

Decimal 50627
Binary 1100010111000011 (16 bits)
Octal 0o142703
Hexadecimal 0xC5C3

Divisor Catalog (2)

1 50,627

Collatz Trajectory (57 steps to reach 1)

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

50,627 151,882 75,941 227,824 113,912 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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