λ
Harmonic Matrix

5,018,721

3 × 137 × 12211
Deficient Odd Composite

5,018,721 has digital root 6. The neighboring primes are 5018701 and 5018731; its proper-divisor sum differs from the starting integer by -3,296,418.

Prime Factor Structure

Factorization String 3 × 137 × 12211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,741,024
Proper Divisor Sum 1,722,303
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5018701 ← → #5018731

Radix Representation

Decimal 5018721
Binary 10011001001010001100001 (23 bits)
Octal 0o23112141
Hexadecimal 0x4C9461

Divisor Catalog (8)

1 3 137 411 12,211 36,633 1,672,907 5,018,721

Collatz Trajectory (157 steps to reach 1)

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

5,018,721 15,056,164 7,528,082 3,764,041 11,292,124 5,646,062 2,823,031 8,469,094 4,234,547 12,703,642 6,351,821 19,055,464 9,527,732 4,763,866 2,381,933 7,145,800 3,572,900 1,786,450 893,225 2,679,676 1,339,838 669,919 2,009,758 1,004,879 3,014,638 1,507,319 4,521,958 2,260,979 6,782,938 3,391,469 10,174,408 5,087,204 2,543,602 1,271,801 3,815,404 1,907,702 953,851 2,861,554 1,430,777 4,292,332 2,146,166 1,073,083 3,219,250 1,609,625 4,828,876 2,414,438 1,207,219 3,621,658 1,810,829 5,432,488 2,716,244 1,358,122 679,061 2,037,184 1,018,592 509,296 254,648 127,324 63,662 31,831

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