λ
Harmonic Matrix

3,841,794

2 × 32 × 11 × 19403
Abundant Even Composite

3,841,794 has digital root 9. The neighboring primes are 3841787 and 3841807; its proper-divisor sum differs from the starting integer by 1,397,484.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 19403
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,081,072
Proper Divisor Sum 5,239,278
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3841787 ← → #3841807

Radix Representation

Decimal 3841794
Binary 1110101001111100000010 (22 bits)
Octal 0o16517402
Hexadecimal 0x3A9F02

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 19,403 38,806 58,209 116,418 174,627 213,433 349,254 426,866 640,299 1,280,598 1,920,897 3,841,794

Collatz Trajectory (123 steps to reach 1)

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

3,841,794 1,920,897 5,762,692 2,881,346 1,440,673 4,322,020 2,161,010 1,080,505 3,241,516 1,620,758 810,379 2,431,138 1,215,569 3,646,708 1,823,354 911,677 2,735,032 1,367,516 683,758 341,879 1,025,638 512,819 1,538,458 769,229 2,307,688 1,153,844 576,922 288,461 865,384 432,692 216,346 108,173 324,520 162,260 81,130 40,565 121,696 60,848 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063

More profiles

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