λ
Harmonic Matrix

5,028,246

2 × 32 × 409 × 683
Abundant Even Composite

5,028,246 has digital root 9. The neighboring primes are 5028241 and 5028259; its proper-divisor sum differs from the starting integer by 880,668.

Prime Factor Structure

Factorization String 2 × 3^2 × 409 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,937,160
Proper Divisor Sum 5,908,914
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5028241 ← → #5028259

Radix Representation

Decimal 5028246
Binary 10011001011100110010110 (23 bits)
Octal 0o23134626
Hexadecimal 0x4CB996

Divisor Catalog (24)

1 2 3 6 9 18 409 683 818 1,227 1,366 2,049 2,454 3,681 4,098 6,147 7,362 12,294 279,347 558,694 838,041 1,676,082 2,514,123 5,028,246

Collatz Trajectory (131 steps to reach 1)

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

5,028,246 2,514,123 7,542,370 3,771,185 11,313,556 5,656,778 2,828,389 8,485,168 4,242,584 2,121,292 1,060,646 530,323 1,590,970 795,485 2,386,456 1,193,228 596,614 298,307 894,922 447,461 1,342,384 671,192 335,596 167,798 83,899 251,698 125,849 377,548 188,774 94,387 283,162 141,581 424,744 212,372 106,186 53,093 159,280 79,640 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890

More profiles

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