λ
Sigma Notebook

207,731

31 × 6701
Deficient Odd Composite

207,731 is odd and not a perfect square. Its factorization is 31 × 6701 and its 4 divisors sum to 214,464.

Prime Factor Structure

Factorization String 31 × 6701
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 214,464
Proper Divisor Sum 6,733
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #207721 ← → #207743

Radix Representation

Decimal 207731
Binary 110010101101110011 (18 bits)
Octal 0o625563
Hexadecimal 0x32B73

Divisor Catalog (4)

1 31 6,701 207,731

Collatz Trajectory (54 steps to reach 1)

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

207,731 623,194 311,597 934,792 467,396 233,698 116,849 350,548 175,274 87,637 262,912 131,456 65,728 32,864 16,432 8,216 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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