λ
Harmonic Matrix

9,840,442

2 × 19 × 258959
Deficient Even Composite

9,840,442 has digital root 4. The neighboring primes are 9840431 and 9840443; its proper-divisor sum differs from the starting integer by -4,143,284.

Prime Factor Structure

Factorization String 2 × 19 × 258959
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,537,600
Proper Divisor Sum 5,697,158
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9840431 ← → #9840443

Radix Representation

Decimal 9840442
Binary 100101100010011100111010 (24 bits)
Octal 0o45423472
Hexadecimal 0x96273A

Divisor Catalog (8)

1 2 19 38 258,959 517,918 4,920,221 9,840,442

Collatz Trajectory (207 steps to reach 1)

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

9,840,442 4,920,221 14,760,664 7,380,332 3,690,166 1,845,083 5,535,250 2,767,625 8,302,876 4,151,438 2,075,719 6,227,158 3,113,579 9,340,738 4,670,369 14,011,108 7,005,554 3,502,777 10,508,332 5,254,166 2,627,083 7,881,250 3,940,625 11,821,876 5,910,938 2,955,469 8,866,408 4,433,204 2,216,602 1,108,301 3,324,904 1,662,452 831,226 415,613 1,246,840 623,420 311,710 155,855 467,566 233,783 701,350 350,675 1,052,026 526,013 1,578,040 789,020 394,510 197,255 591,766 295,883 887,650 443,825 1,331,476 665,738 332,869 998,608 499,304 249,652 124,826 62,413

More profiles

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