λ
Sigma Notebook

101,386

2 × 163 × 311
Deficient Even Composite

101,386 is even and not a perfect square. Its factorization is 2 × 163 × 311 and its 8 divisors sum to 153,504.

Prime Factor Structure

Factorization String 2 × 163 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 153,504
Proper Divisor Sum 52,118
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #101383 ← → #101399

Radix Representation

Decimal 101386
Binary 11000110000001010 (17 bits)
Octal 0o306012
Hexadecimal 0x18C0A

Divisor Catalog (8)

1 2 163 311 326 622 50,693 101,386

Collatz Trajectory (128 steps to reach 1)

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

101,386 50,693 152,080 76,040 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

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