λ
Harmonic Matrix

5,169,876

22 × 3 × 430823
Abundant Even Composite

5,169,876 has digital root 6. The neighboring primes are 5169841 and 5169893; its proper-divisor sum differs from the starting integer by 1,723,320.

Prime Factor Structure

Factorization String 2^2 × 3 × 430823
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,063,072
Proper Divisor Sum 6,893,196
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5169841 ← → #5169893

Radix Representation

Decimal 5169876
Binary 10011101110001011010100 (23 bits)
Octal 0o23561324
Hexadecimal 0x4EE2D4

Divisor Catalog (12)

1 2 3 4 6 12 430,823 861,646 1,292,469 1,723,292 2,584,938 5,169,876

Collatz Trajectory (56 steps to reach 1)

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

5,169,876 2,584,938 1,292,469 3,877,408 1,938,704 969,352 484,676 242,338 121,169 363,508 181,754 90,877 272,632 136,316 68,158 34,079 102,238 51,119 153,358 76,679 230,038 115,019 345,058 172,529 517,588 258,794 129,397 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592 27,296 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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