λ
Prime Ledger

212,837

212837
Deficient Odd Prime

212,837 has the prime decomposition 212837. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 212837
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 212,838
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #212827 ← → #212843

Radix Representation

Decimal 212837
Binary 110011111101100101 (18 bits)
Octal 0o637545
Hexadecimal 0x33F65

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

212,837 638,512 319,256 159,628 79,814 39,907 119,722 59,861 179,584 89,792 44,896 22,448 11,224 5,612 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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