λ
Harmonic Matrix

5,520,468

22 × 3 × 460039
Abundant Even Composite

5,520,468 has digital root 3. The neighboring primes are 5520467 and 5520499; its proper-divisor sum differs from the starting integer by 1,840,184.

Prime Factor Structure

Factorization String 2^2 × 3 × 460039
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,881,120
Proper Divisor Sum 7,360,652
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5520467 ← → #5520499

Radix Representation

Decimal 5520468
Binary 10101000011110001010100 (23 bits)
Octal 0o25036124
Hexadecimal 0x543C54

Divisor Catalog (12)

1 2 3 4 6 12 460,039 920,078 1,380,117 1,840,156 2,760,234 5,520,468

Collatz Trajectory (38 steps to reach 1)

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

5,520,468 2,760,234 1,380,117 4,140,352 2,070,176 1,035,088 517,544 258,772 129,386 64,693 194,080 97,040 48,520 24,260 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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