λ
Harmonic Matrix

9,610,443

32 × 229 × 4663
Deficient Odd Composite

9,610,443 has digital root 9. The neighboring primes are 9610427 and 9610459; its proper-divisor sum differs from the starting integer by -5,275,526.

Prime Factor Structure

Factorization String 3^2 × 229 × 4663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,945,360
Proper Divisor Sum 4,334,917
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9610427 ← → #9610459

Radix Representation

Decimal 9610443
Binary 100100101010010011001011 (24 bits)
Octal 0o44522313
Hexadecimal 0x92A4CB

Divisor Catalog (12)

1 3 9 229 687 2,061 4,663 13,989 41,967 1,067,827 3,203,481 9,610,443

Collatz Trajectory (238 steps to reach 1)

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

9,610,443 28,831,330 14,415,665 43,246,996 21,623,498 10,811,749 32,435,248 16,217,624 8,108,812 4,054,406 2,027,203 6,081,610 3,040,805 9,122,416 4,561,208 2,280,604 1,140,302 570,151 1,710,454 855,227 2,565,682 1,282,841 3,848,524 1,924,262 962,131 2,886,394 1,443,197 4,329,592 2,164,796 1,082,398 541,199 1,623,598 811,799 2,435,398 1,217,699 3,653,098 1,826,549 5,479,648 2,739,824 1,369,912 684,956 342,478 171,239 513,718 256,859 770,578 385,289 1,155,868 577,934 288,967 866,902 433,451 1,300,354 650,177 1,950,532 975,266 487,633 1,462,900 731,450 365,725

More profiles

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