λ
Harmonic Matrix

5,494,536

23 × 32 × 17 × 672
Abundant Even Composite

5,494,536 has digital root 9. The neighboring primes are 5494513 and 5494547; its proper-divisor sum differs from the starting integer by 5,005,998.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 67^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 15,995,070
Proper Divisor Sum 10,500,534
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5494513 ← → #5494547

Radix Representation

Decimal 5494536
Binary 10100111101011100001000 (23 bits)
Octal 0o24753410
Hexadecimal 0x53D708

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 67 68 72 102 134 136 153 201 204 268 306 402 408 536 603 612 804 1,139 1,206 1,224 1,608 2,278 2,412 3,417 4,489 4,556 4,824 6,834 8,978 9,112 10,251 13,467 13,668 17,956 20,502 26,934 27,336 35,912 40,401 41,004 53,868 76,313 80,802 82,008 107,736 152,626

Collatz Trajectory (201 steps to reach 1)

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

5,494,536 2,747,268 1,373,634 686,817 2,060,452 1,030,226 515,113 1,545,340 772,670 386,335 1,159,006 579,503 1,738,510 869,255 2,607,766 1,303,883 3,911,650 1,955,825 5,867,476 2,933,738 1,466,869 4,400,608 2,200,304 1,100,152 550,076 275,038 137,519 412,558 206,279 618,838 309,419 928,258 464,129 1,392,388 696,194 348,097 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850

More profiles

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