λ
Harmonic Matrix

4,221,179

4221179
Deficient Odd Prime

4,221,179 has digital root 8. The neighboring primes are 4221169 and 4221193; its proper-divisor sum differs from the starting integer by -4,221,178.

Prime Factor Structure

Factorization String 4221179
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,221,180
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4221169 ← → #4221193

Radix Representation

Decimal 4221179
Binary 10000000110100011111011 (23 bits)
Octal 0o20064373
Hexadecimal 0x4068FB

Divisor Catalog (2)

Collatz Trajectory (229 steps to reach 1)

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

4,221,179 12,663,538 6,331,769 18,995,308 9,497,654 4,748,827 14,246,482 7,123,241 21,369,724 10,684,862 5,342,431 16,027,294 8,013,647 24,040,942 12,020,471 36,061,414 18,030,707 54,092,122 27,046,061 81,138,184 40,569,092 20,284,546 10,142,273 30,426,820 15,213,410 7,606,705 22,820,116 11,410,058 5,705,029 17,115,088 8,557,544 4,278,772 2,139,386 1,069,693 3,209,080 1,604,540 802,270 401,135 1,203,406 601,703 1,805,110 902,555 2,707,666 1,353,833 4,061,500 2,030,750 1,015,375 3,046,126 1,523,063 4,569,190 2,284,595 6,853,786 3,426,893 10,280,680 5,140,340 2,570,170 1,285,085 3,855,256 1,927,628 963,814

More profiles

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