226,941

3 × 11 × 13 × 23²

226,941 factors as 3 × 11 × 13 × 23^2. Its 24 positive divisors give a proper-divisor sum of 144,675, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 23^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 371,616

Proper Divisor Sum 144,675

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #226937 ← → #226943

Radix Representation

Decimal	226941
Binary	110111011001111101 (18 bits)
Octal	0o673175
Hexadecimal	0x3767D

Divisor Catalog (24)

1 3 11 13 23 33 39 69 143 253 299 429 529 759 897 1,587 3,289 5,819 6,877 9,867 17,457 20,631 75,647 226,941

Collatz Trajectory (186 steps to reach 1)

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

226,941 680,824 340,412 170,206 85,103 255,310 127,655 382,966 191,483 574,450 287,225 861,676 430,838 215,419 646,258 323,129 969,388 484,694 242,347 727,042 363,521 1,090,564 545,282 272,641 817,924 408,962 204,481 613,444 306,722 153,361 460,084 230,042 115,021 345,064 172,532 86,266 43,133 129,400 64,700 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638

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