λ
Harmonic Matrix

9,710,444

22 × 19 × 67 × 1907
Deficient Even Composite

9,710,444 has digital root 2. The neighboring primes are 9710413 and 9710461; its proper-divisor sum differs from the starting integer by -1,256,728.

Prime Factor Structure

Factorization String 2^2 × 19 × 67 × 1907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,164,160
Proper Divisor Sum 8,453,716
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9710413 ← → #9710461

Radix Representation

Decimal 9710444
Binary 100101000010101101101100 (24 bits)
Octal 0o45025554
Hexadecimal 0x942B6C

Divisor Catalog (24)

1 2 4 19 38 67 76 134 268 1,273 1,907 2,546 3,814 5,092 7,628 36,233 72,466 127,769 144,932 255,538 511,076 2,427,611 4,855,222 9,710,444

Collatz Trajectory (238 steps to reach 1)

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

9,710,444 4,855,222 2,427,611 7,282,834 3,641,417 10,924,252 5,462,126 2,731,063 8,193,190 4,096,595 12,289,786 6,144,893 18,434,680 9,217,340 4,608,670 2,304,335 6,913,006 3,456,503 10,369,510 5,184,755 15,554,266 7,777,133 23,331,400 11,665,700 5,832,850 2,916,425 8,749,276 4,374,638 2,187,319 6,561,958 3,280,979 9,842,938 4,921,469 14,764,408 7,382,204 3,691,102 1,845,551 5,536,654 2,768,327 8,304,982 4,152,491 12,457,474 6,228,737 18,686,212 9,343,106 4,671,553 14,014,660 7,007,330 3,503,665 10,510,996 5,255,498 2,627,749 7,883,248 3,941,624 1,970,812 985,406 492,703 1,478,110 739,055 2,217,166

More profiles

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