λ
Harmonic Matrix

9,286,362

2 × 32 × 283 × 1823
Abundant Even Composite

9,286,362 has digital root 9. The neighboring primes are 9286327 and 9286363; its proper-divisor sum differs from the starting integer by 1,629,900.

Prime Factor Structure

Factorization String 2 × 3^2 × 283 × 1823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,202,624
Proper Divisor Sum 10,916,262
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9286327 ← → #9286363

Radix Representation

Decimal 9286362
Binary 100011011011001011011010 (24 bits)
Octal 0o43331332
Hexadecimal 0x8DB2DA

Divisor Catalog (24)

1 2 3 6 9 18 283 566 849 1,698 1,823 2,547 3,646 5,094 5,469 10,938 16,407 32,814 515,909 1,031,818 1,547,727 3,095,454 4,643,181 9,286,362

Collatz Trajectory (101 steps to reach 1)

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

9,286,362 4,643,181 13,929,544 6,964,772 3,482,386 1,741,193 5,223,580 2,611,790 1,305,895 3,917,686 1,958,843 5,876,530 2,938,265 8,814,796 4,407,398 2,203,699 6,611,098 3,305,549 9,916,648 4,958,324 2,479,162 1,239,581 3,718,744 1,859,372 929,686 464,843 1,394,530 697,265 2,091,796 1,045,898 522,949 1,568,848 784,424 392,212 196,106 98,053 294,160 147,080 73,540 36,770 18,385 55,156 27,578 13,789 41,368 20,684 10,342 5,171 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637

More profiles

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