λ
Harmonic Matrix

5,478,558

2 × 3 × 109 × 8377
Abundant Even Composite

5,478,558 has digital root 6. The neighboring primes are 5478547 and 5478559; its proper-divisor sum differs from the starting integer by 101,844.

Prime Factor Structure

Factorization String 2 × 3 × 109 × 8377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,058,960
Proper Divisor Sum 5,580,402
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5478547 ← → #5478559

Radix Representation

Decimal 5478558
Binary 10100111001100010011110 (23 bits)
Octal 0o24714236
Hexadecimal 0x53989E

Divisor Catalog (16)

1 2 3 6 109 218 327 654 8,377 16,754 25,131 50,262 913,093 1,826,186 2,739,279 5,478,558

Collatz Trajectory (139 steps to reach 1)

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

5,478,558 2,739,279 8,217,838 4,108,919 12,326,758 6,163,379 18,490,138 9,245,069 27,735,208 13,867,604 6,933,802 3,466,901 10,400,704 5,200,352 2,600,176 1,300,088 650,044 325,022 162,511 487,534 243,767 731,302 365,651 1,096,954 548,477 1,645,432 822,716 411,358 205,679 617,038 308,519 925,558 462,779 1,388,338 694,169 2,082,508 1,041,254 520,627 1,561,882 780,941 2,342,824 1,171,412 585,706 292,853 878,560 439,280 219,640 109,820 54,910 27,455 82,366 41,183 123,550 61,775 185,326 92,663 277,990 138,995 416,986 208,493

More profiles

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