λ
Harmonic Matrix

1,198,641

3 × 47 × 8501
Deficient Odd Composite

1,198,641 has digital root 3. The neighboring primes are 1198621 and 1198643; its proper-divisor sum differs from the starting integer by -764,898.

Prime Factor Structure

Factorization String 3 × 47 × 8501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,632,384
Proper Divisor Sum 433,743
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1198621 ← → #1198643

Radix Representation

Decimal 1198641
Binary 100100100101000110001 (21 bits)
Octal 0o4445061
Hexadecimal 0x124A31

Divisor Catalog (8)

1 3 47 141 8,501 25,503 399,547 1,198,641

Collatz Trajectory (90 steps to reach 1)

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

1,198,641 3,595,924 1,797,962 898,981 2,696,944 1,348,472 674,236 337,118 168,559 505,678 252,839 758,518 379,259 1,137,778 568,889 1,706,668 853,334 426,667 1,280,002 640,001 1,920,004 960,002 480,001 1,440,004 720,002 360,001 1,080,004 540,002 270,001 810,004 405,002 202,501 607,504 303,752 151,876 75,938 37,969 113,908 56,954 28,477 85,432 42,716 21,358 10,679 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604

More profiles

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