λ
Harmonic Matrix

9,438,206

2 × 227 × 20789
Deficient Even Composite

9,438,206 has digital root 5. The neighboring primes are 9438203 and 9438251; its proper-divisor sum differs from the starting integer by -4,656,052.

Prime Factor Structure

Factorization String 2 × 227 × 20789
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,220,360
Proper Divisor Sum 4,782,154
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9438203 ← → #9438251

Radix Representation

Decimal 9438206
Binary 100100000000001111111110 (24 bits)
Octal 0o44001776
Hexadecimal 0x9003FE

Divisor Catalog (8)

1 2 227 454 20,789 41,578 4,719,103 9,438,206

Collatz Trajectory (101 steps to reach 1)

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

9,438,206 4,719,103 14,157,310 7,078,655 21,235,966 10,617,983 31,853,950 15,926,975 47,780,926 23,890,463 71,671,390 35,835,695 107,507,086 53,753,543 161,260,630 80,630,315 241,890,946 120,945,473 362,836,420 181,418,210 90,709,105 272,127,316 136,063,658 68,031,829 204,095,488 102,047,744 51,023,872 25,511,936 12,755,968 6,377,984 3,188,992 1,594,496 797,248 398,624 199,312 99,656 49,828 24,914 12,457 37,372 18,686 9,343 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869

More profiles

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