λ
Harmonic Matrix

554,841

32 × 7 × 8807
Deficient Odd Composite

554,841 has digital root 9. The neighboring primes are 554839 and 554843; its proper-divisor sum differs from the starting integer by -193,650.

Prime Factor Structure

Factorization String 3^2 × 7 × 8807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 916,032
Proper Divisor Sum 361,191
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #554839 ← → #554843

Radix Representation

Decimal 554841
Binary 10000111011101011001 (20 bits)
Octal 0o2073531
Hexadecimal 0x87759

Divisor Catalog (12)

1 3 7 9 21 63 8,807 26,421 61,649 79,263 184,947 554,841

Collatz Trajectory (133 steps to reach 1)

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

554,841 1,664,524 832,262 416,131 1,248,394 624,197 1,872,592 936,296 468,148 234,074 117,037 351,112 175,556 87,778 43,889 131,668 65,834 32,917 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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