λ
Harmonic Matrix

4,398,492

22 × 3 × 7 × 52363
Abundant Even Composite

4,398,492 has digital root 3. The neighboring primes are 4398487 and 4398503; its proper-divisor sum differs from the starting integer by 2,932,552.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 52363
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,729,536
Proper Divisor Sum 7,331,044
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4398487 ← → #4398503

Radix Representation

Decimal 4398492
Binary 10000110001110110011100 (23 bits)
Octal 0o20616634
Hexadecimal 0x431D9C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 52,363 104,726 157,089 209,452 314,178 366,541 628,356 733,082 1,099,623 1,466,164 2,199,246 4,398,492

Collatz Trajectory (193 steps to reach 1)

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

4,398,492 2,199,246 1,099,623 3,298,870 1,649,435 4,948,306 2,474,153 7,422,460 3,711,230 1,855,615 5,566,846 2,783,423 8,350,270 4,175,135 12,525,406 6,262,703 18,788,110 9,394,055 28,182,166 14,091,083 42,273,250 21,136,625 63,409,876 31,704,938 15,852,469 47,557,408 23,778,704 11,889,352 5,944,676 2,972,338 1,486,169 4,458,508 2,229,254 1,114,627 3,343,882 1,671,941 5,015,824 2,507,912 1,253,956 626,978 313,489 940,468 470,234 235,117 705,352 352,676 176,338 88,169 264,508 132,254 66,127 198,382 99,191 297,574 148,787 446,362 223,181 669,544 334,772 167,386

More profiles

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