λ
Harmonic Matrix

5,924,028

22 × 3 × 11 × 44879
Abundant Even Composite

5,924,028 has digital root 3. The neighboring primes are 5924011 and 5924053; its proper-divisor sum differs from the starting integer by 3,231,624.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 44879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,079,680
Proper Divisor Sum 9,155,652
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5924011 ← → #5924053

Radix Representation

Decimal 5924028
Binary 10110100110010010111100 (23 bits)
Octal 0o26462274
Hexadecimal 0x5A64BC

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 44,879 89,758 134,637 179,516 269,274 493,669 538,548 987,338 1,481,007 1,974,676 2,962,014 5,924,028

Collatz Trajectory (170 steps to reach 1)

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

5,924,028 2,962,014 1,481,007 4,443,022 2,221,511 6,664,534 3,332,267 9,996,802 4,998,401 14,995,204 7,497,602 3,748,801 11,246,404 5,623,202 2,811,601 8,434,804 4,217,402 2,108,701 6,326,104 3,163,052 1,581,526 790,763 2,372,290 1,186,145 3,558,436 1,779,218 889,609 2,668,828 1,334,414 667,207 2,001,622 1,000,811 3,002,434 1,501,217 4,503,652 2,251,826 1,125,913 3,377,740 1,688,870 844,435 2,533,306 1,266,653 3,799,960 1,899,980 949,990 474,995 1,424,986 712,493 2,137,480 1,068,740 534,370 267,185 801,556 400,778 200,389 601,168 300,584 150,292 75,146 37,573

More profiles

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