λ
Prime Ledger

304,289

97 × 3137
Deficient Odd Composite

304,289 has the prime decomposition 97 × 3137. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 97 × 3137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 307,524
Proper Divisor Sum 3,235
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #304279 ← → #304301

Radix Representation

Decimal 304289
Binary 1001010010010100001 (19 bits)
Octal 0o1122241
Hexadecimal 0x4A4A1

Divisor Catalog (4)

1 97 3,137 304,289

Collatz Trajectory (202 steps to reach 1)

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

304,289 912,868 456,434 228,217 684,652 342,326 171,163 513,490 256,745 770,236 385,118 192,559 577,678 288,839 866,518 433,259 1,299,778 649,889 1,949,668 974,834 487,417 1,462,252 731,126 365,563 1,096,690 548,345 1,645,036 822,518 411,259 1,233,778 616,889 1,850,668 925,334 462,667 1,388,002 694,001 2,082,004 1,041,002 520,501 1,561,504 780,752 390,376 195,188 97,594 48,797 146,392 73,196 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484

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