λ
Harmonic Matrix

308,391

3 × 102797
Deficient Odd Composite

308,391 has digital root 6. The neighboring primes are 308383 and 308411; its proper-divisor sum differs from the starting integer by -205,590.

Prime Factor Structure

Factorization String 3 × 102797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 411,192
Proper Divisor Sum 102,801
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #308383 ← → #308411

Radix Representation

Decimal 308391
Binary 1001011010010100111 (19 bits)
Octal 0o1132247
Hexadecimal 0x4B4A7

Divisor Catalog (4)

1 3 102,797 308,391

Collatz Trajectory (189 steps to reach 1)

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

308,391 925,174 462,587 1,387,762 693,881 2,081,644 1,040,822 520,411 1,561,234 780,617 2,341,852 1,170,926 585,463 1,756,390 878,195 2,634,586 1,317,293 3,951,880 1,975,940 987,970 493,985 1,481,956 740,978 370,489 1,111,468 555,734 277,867 833,602 416,801 1,250,404 625,202 312,601 937,804 468,902 234,451 703,354 351,677 1,055,032 527,516 263,758 131,879 395,638 197,819 593,458 296,729 890,188 445,094 222,547 667,642 333,821 1,001,464 500,732 250,366 125,183 375,550 187,775 563,326 281,663 844,990 422,495

More profiles

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