λ
Harmonic Matrix

9,816,235

5 × 11 × 13 × 13729
Deficient Odd Composite

9,816,235 has digital root 7. The neighboring primes are 9816229 and 9816253; its proper-divisor sum differs from the starting integer by -5,792,630.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 13729
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,839,840
Proper Divisor Sum 4,023,605
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9816229 ← → #9816253

Radix Representation

Decimal 9816235
Binary 100101011100100010101011 (24 bits)
Octal 0o45344253
Hexadecimal 0x95C8AB

Divisor Catalog (16)

1 5 11 13 55 65 143 715 13,729 68,645 151,019 178,477 755,095 892,385 1,963,247 9,816,235

Collatz Trajectory (145 steps to reach 1)

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

9,816,235 29,448,706 14,724,353 44,173,060 22,086,530 11,043,265 33,129,796 16,564,898 8,282,449 24,847,348 12,423,674 6,211,837 18,635,512 9,317,756 4,658,878 2,329,439 6,988,318 3,494,159 10,482,478 5,241,239 15,723,718 7,861,859 23,585,578 11,792,789 35,378,368 17,689,184 8,844,592 4,422,296 2,211,148 1,105,574 552,787 1,658,362 829,181 2,487,544 1,243,772 621,886 310,943 932,830 466,415 1,399,246 699,623 2,098,870 1,049,435 3,148,306 1,574,153 4,722,460 2,361,230 1,180,615 3,541,846 1,770,923 5,312,770 2,656,385 7,969,156 3,984,578 1,992,289 5,976,868 2,988,434 1,494,217 4,482,652 2,241,326

More profiles

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