λ
Harmonic Matrix

9,296,835

3 × 5 × 47 × 13187
Deficient Odd Composite

9,296,835 has digital root 6. The neighboring primes are 9296809 and 9296839; its proper-divisor sum differs from the starting integer by -3,401,094.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 13187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,192,576
Proper Divisor Sum 5,895,741
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9296809 ← → #9296839

Radix Representation

Decimal 9296835
Binary 100011011101101111000011 (24 bits)
Octal 0o43355703
Hexadecimal 0x8DDBC3

Divisor Catalog (16)

1 3 5 15 47 141 235 705 13,187 39,561 65,935 197,805 619,789 1,859,367 3,098,945 9,296,835

Collatz Trajectory (287 steps to reach 1)

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

9,296,835 27,890,506 13,945,253 41,835,760 20,917,880 10,458,940 5,229,470 2,614,735 7,844,206 3,922,103 11,766,310 5,883,155 17,649,466 8,824,733 26,474,200 13,237,100 6,618,550 3,309,275 9,927,826 4,963,913 14,891,740 7,445,870 3,722,935 11,168,806 5,584,403 16,753,210 8,376,605 25,129,816 12,564,908 6,282,454 3,141,227 9,423,682 4,711,841 14,135,524 7,067,762 3,533,881 10,601,644 5,300,822 2,650,411 7,951,234 3,975,617 11,926,852 5,963,426 2,981,713 8,945,140 4,472,570 2,236,285 6,708,856 3,354,428 1,677,214 838,607 2,515,822 1,257,911 3,773,734 1,886,867 5,660,602 2,830,301 8,490,904 4,245,452 2,122,726

More profiles

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