λ
Harmonic Matrix

5,051,289

3 × 1087 × 1549
Deficient Odd Composite

5,051,289 has digital root 3. The neighboring primes are 5051287 and 5051303; its proper-divisor sum differs from the starting integer by -3,356,978.

Prime Factor Structure

Factorization String 3 × 1087 × 1549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,745,600
Proper Divisor Sum 1,694,311
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5051287 ← → #5051303

Radix Representation

Decimal 5051289
Binary 10011010001001110011001 (23 bits)
Octal 0o23211631
Hexadecimal 0x4D1399

Divisor Catalog (8)

1 3 1,087 1,549 3,261 4,647 1,683,763 5,051,289

Collatz Trajectory (219 steps to reach 1)

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

5,051,289 15,153,868 7,576,934 3,788,467 11,365,402 5,682,701 17,048,104 8,524,052 4,262,026 2,131,013 6,393,040 3,196,520 1,598,260 799,130 399,565 1,198,696 599,348 299,674 149,837 449,512 224,756 112,378 56,189 168,568 84,284 42,142 21,071 63,214 31,607 94,822 47,411 142,234 71,117 213,352 106,676 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345

More profiles

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