λ
Sigma Notebook

277,231

277231
Deficient Odd Prime

277,231 is odd and not a perfect square. Its factorization is 277231 and its 2 divisors sum to 277,232.

Prime Factor Structure

Factorization String 277231
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 277,232
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #277223 ← → #277247

Radix Representation

Decimal 277231
Binary 1000011101011101111 (19 bits)
Octal 0o1035357
Hexadecimal 0x43AEF

Divisor Catalog (2)

Collatz Trajectory (207 steps to reach 1)

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

277,231 831,694 415,847 1,247,542 623,771 1,871,314 935,657 2,806,972 1,403,486 701,743 2,105,230 1,052,615 3,157,846 1,578,923 4,736,770 2,368,385 7,105,156 3,552,578 1,776,289 5,328,868 2,664,434 1,332,217 3,996,652 1,998,326 999,163 2,997,490 1,498,745 4,496,236 2,248,118 1,124,059 3,372,178 1,686,089 5,058,268 2,529,134 1,264,567 3,793,702 1,896,851 5,690,554 2,845,277 8,535,832 4,267,916 2,133,958 1,066,979 3,200,938 1,600,469 4,801,408 2,400,704 1,200,352 600,176 300,088 150,044 75,022 37,511 112,534 56,267 168,802 84,401 253,204 126,602 63,301

More profiles

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