λ
Harmonic Matrix

5,018,060

22 × 5 × 17 × 14759
Abundant Even Composite

5,018,060 has digital root 2. The neighboring primes are 5018047 and 5018081; its proper-divisor sum differs from the starting integer by 1,122,440.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 14759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,158,560
Proper Divisor Sum 6,140,500
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5018047 ← → #5018081

Radix Representation

Decimal 5018060
Binary 10011001001000111001100 (23 bits)
Octal 0o23110714
Hexadecimal 0x4C91CC

Divisor Catalog (24)

1 2 4 5 10 17 20 34 68 85 170 340 14,759 29,518 59,036 73,795 147,590 250,903 295,180 501,806 1,003,612 1,254,515 2,509,030 5,018,060

Collatz Trajectory (87 steps to reach 1)

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

5,018,060 2,509,030 1,254,515 3,763,546 1,881,773 5,645,320 2,822,660 1,411,330 705,665 2,116,996 1,058,498 529,249 1,587,748 793,874 396,937 1,190,812 595,406 297,703 893,110 446,555 1,339,666 669,833 2,009,500 1,004,750 502,375 1,507,126 753,563 2,260,690 1,130,345 3,391,036 1,695,518 847,759 2,543,278 1,271,639 3,814,918 1,907,459 5,722,378 2,861,189 8,583,568 4,291,784 2,145,892 1,072,946 536,473 1,609,420 804,710 402,355 1,207,066 603,533 1,810,600 905,300 452,650 226,325 678,976 339,488 169,744 84,872 42,436 21,218 10,609 31,828

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