λ
Harmonic Matrix

9,423,861

3 × 113 × 27799
Deficient Odd Composite

9,423,861 has digital root 6. The neighboring primes are 9423857 and 9423871; its proper-divisor sum differs from the starting integer by -6,170,922.

Prime Factor Structure

Factorization String 3 × 113 × 27799
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,676,800
Proper Divisor Sum 3,252,939
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9423857 ← → #9423871

Radix Representation

Decimal 9423861
Binary 100011111100101111110101 (24 bits)
Octal 0o43745765
Hexadecimal 0x8FCBF5

Divisor Catalog (8)

1 3 113 339 27,799 83,397 3,141,287 9,423,861

Collatz Trajectory (132 steps to reach 1)

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

9,423,861 28,271,584 14,135,792 7,067,896 3,533,948 1,766,974 883,487 2,650,462 1,325,231 3,975,694 1,987,847 5,963,542 2,981,771 8,945,314 4,472,657 13,417,972 6,708,986 3,354,493 10,063,480 5,031,740 2,515,870 1,257,935 3,773,806 1,886,903 5,660,710 2,830,355 8,491,066 4,245,533 12,736,600 6,368,300 3,184,150 1,592,075 4,776,226 2,388,113 7,164,340 3,582,170 1,791,085 5,373,256 2,686,628 1,343,314 671,657 2,014,972 1,007,486 503,743 1,511,230 755,615 2,266,846 1,133,423 3,400,270 1,700,135 5,100,406 2,550,203 7,650,610 3,825,305 11,475,916 5,737,958 2,868,979 8,606,938 4,303,469 12,910,408

More profiles

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