λ
Harmonic Matrix

5,804,838

2 × 33 × 13 × 8269
Abundant Even Composite

5,804,838 has digital root 9. The neighboring primes are 5804831 and 5804849; its proper-divisor sum differs from the starting integer by 2,283,924.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 8269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,893,600
Proper Divisor Sum 8,088,762
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5804831 ← → #5804849

Radix Representation

Decimal 5804838
Binary 10110001001001100100110 (23 bits)
Octal 0o26111446
Hexadecimal 0x589326

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 8,269 16,538 24,807 49,614 74,421 107,497 148,842 214,994 223,263 322,491 446,526 644,982 967,473 1,934,946 2,902,419 5,804,838

Collatz Trajectory (183 steps to reach 1)

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

5,804,838 2,902,419 8,707,258 4,353,629 13,060,888 6,530,444 3,265,222 1,632,611 4,897,834 2,448,917 7,346,752 3,673,376 1,836,688 918,344 459,172 229,586 114,793 344,380 172,190 86,095 258,286 129,143 387,430 193,715 581,146 290,573 871,720 435,860 217,930 108,965 326,896 163,448 81,724 40,862 20,431 61,294 30,647 91,942 45,971 137,914 68,957 206,872 103,436 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826

More profiles

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