λ
Harmonic Matrix

5,546,864

24 × 23 × 15073
Abundant Even Composite

5,546,864 has digital root 2. The neighboring primes are 5546843 and 5546867; its proper-divisor sum differs from the starting integer by 121,328.

Prime Factor Structure

Factorization String 2^4 × 23 × 15073
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,215,056
Proper Divisor Sum 5,668,192
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5546843 ← → #5546867

Radix Representation

Decimal 5546864
Binary 10101001010001101110000 (23 bits)
Octal 0o25121560
Hexadecimal 0x54A370

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 15,073 30,146 60,292 120,584 241,168 346,679 693,358 1,386,716 2,773,432 5,546,864

Collatz Trajectory (307 steps to reach 1)

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

5,546,864 2,773,432 1,386,716 693,358 346,679 1,040,038 520,019 1,560,058 780,029 2,340,088 1,170,044 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266 667,133 2,001,400 1,000,700 500,350 250,175 750,526 375,263 1,125,790 562,895 1,688,686 844,343 2,533,030 1,266,515

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