λ
Prime Ledger

320,099

13 × 24623
Deficient Odd Composite

320,099 has the prime decomposition 13 × 24623. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 24623
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 344,736
Proper Divisor Sum 24,637
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #320083 ← → #320101

Radix Representation

Decimal 320099
Binary 1001110001001100011 (19 bits)
Octal 0o1161143
Hexadecimal 0x4E263

Divisor Catalog (4)

1 13 24,623 320,099

Collatz Trajectory (109 steps to reach 1)

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

320,099 960,298 480,149 1,440,448 720,224 360,112 180,056 90,028 45,014 22,507 67,522 33,761 101,284 50,642 25,321 75,964 37,982 18,991 56,974 28,487 85,462 42,731 128,194 64,097 192,292 96,146 48,073 144,220 72,110 36,055 108,166 54,083 162,250 81,125 243,376 121,688 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032

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