λ
Harmonic Matrix

6,164,548

22 × 13 × 118549
Deficient Even Composite

6,164,548 has digital root 7. The neighboring primes are 6164537 and 6164549; its proper-divisor sum differs from the starting integer by -711,196.

Prime Factor Structure

Factorization String 2^2 × 13 × 118549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,617,900
Proper Divisor Sum 5,453,352
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6164537 ← → #6164549

Radix Representation

Decimal 6164548
Binary 10111100001000001000100 (23 bits)
Octal 0o27410104
Hexadecimal 0x5E1044

Divisor Catalog (12)

1 2 4 13 26 52 118,549 237,098 474,196 1,541,137 3,082,274 6,164,548

Collatz Trajectory (196 steps to reach 1)

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

6,164,548 3,082,274 1,541,137 4,623,412 2,311,706 1,155,853 3,467,560 1,733,780 866,890 433,445 1,300,336 650,168 325,084 162,542 81,271 243,814 121,907 365,722 182,861 548,584 274,292 137,146 68,573 205,720 102,860 51,430 25,715 77,146 38,573 115,720 57,860 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520

More profiles

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