λ
Harmonic Matrix

304,531

233 × 1307
Deficient Odd Composite

304,531 has digital root 7. The neighboring primes are 304523 and 304537; its proper-divisor sum differs from the starting integer by -302,990.

Prime Factor Structure

Factorization String 233 × 1307
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 306,072
Proper Divisor Sum 1,541
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #304523 ← → #304537

Radix Representation

Decimal 304531
Binary 1001010010110010011 (19 bits)
Octal 0o1122623
Hexadecimal 0x4A593

Divisor Catalog (4)

1 233 1,307 304,531

Collatz Trajectory (65 steps to reach 1)

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

304,531 913,594 456,797 1,370,392 685,196 342,598 171,299 513,898 256,949 770,848 385,424 192,712 96,356 48,178 24,089 72,268 36,134 18,067 54,202 27,101 81,304 40,652 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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