λ
Harmonic Matrix

9,743,862

2 × 3 × 1623977
Abundant Even Composite

9,743,862 has digital root 3. The neighboring primes are 9743861 and 9743893; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1623977
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 19,487,736
Proper Divisor Sum 9,743,874
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9743861 ← → #9743893

Radix Representation

Decimal 9743862
Binary 100101001010110111110110 (24 bits)
Octal 0o45126766
Hexadecimal 0x94ADF6

Divisor Catalog (8)

1 2 3 6 1,623,977 3,247,954 4,871,931 9,743,862

Collatz Trajectory (176 steps to reach 1)

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

9,743,862 4,871,931 14,615,794 7,307,897 21,923,692 10,961,846 5,480,923 16,442,770 8,221,385 24,664,156 12,332,078 6,166,039 18,498,118 9,249,059 27,747,178 13,873,589 41,620,768 20,810,384 10,405,192 5,202,596 2,601,298 1,300,649 3,901,948 1,950,974 975,487 2,926,462 1,463,231 4,389,694 2,194,847 6,584,542 3,292,271 9,876,814 4,938,407 14,815,222 7,407,611 22,222,834 11,111,417 33,334,252 16,667,126 8,333,563 25,000,690 12,500,345 37,501,036 18,750,518 9,375,259 28,125,778 14,062,889 42,188,668 21,094,334 10,547,167 31,641,502 15,820,751 47,462,254 23,731,127 71,193,382 35,596,691 106,790,074 53,395,037 160,185,112 80,092,556

More profiles

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