λ
Prime Ledger

321,773

233 × 1381
Deficient Odd Composite

321,773 has the prime decomposition 233 × 1381. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 233 × 1381
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 323,388
Proper Divisor Sum 1,615
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #321757 ← → #321779

Radix Representation

Decimal 321773
Binary 1001110100011101101 (19 bits)
Octal 0o1164355
Hexadecimal 0x4E8ED

Divisor Catalog (4)

1 233 1,381 321,773

Collatz Trajectory (96 steps to reach 1)

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

321,773 965,320 482,660 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248 203,624 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051

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