λ
Harmonic Matrix

9,565,230

2 × 3 × 5 × 318841
Abundant Even Composite

9,565,230 has digital root 3. The neighboring primes are 9565219 and 9565243; its proper-divisor sum differs from the starting integer by 3,826,164.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 318841
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 22,956,624
Proper Divisor Sum 13,391,394
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9565219 ← → #9565243

Radix Representation

Decimal 9565230
Binary 100100011111010000101110 (24 bits)
Octal 0o44372056
Hexadecimal 0x91F42E

Divisor Catalog (16)

1 2 3 5 6 10 15 30 318,841 637,682 956,523 1,594,205 1,913,046 3,188,410 4,782,615 9,565,230

Collatz Trajectory (194 steps to reach 1)

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

9,565,230 4,782,615 14,347,846 7,173,923 21,521,770 10,760,885 32,282,656 16,141,328 8,070,664 4,035,332 2,017,666 1,008,833 3,026,500 1,513,250 756,625 2,269,876 1,134,938 567,469 1,702,408 851,204 425,602 212,801 638,404 319,202 159,601 478,804 239,402 119,701 359,104 179,552 89,776 44,888 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689

More profiles

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