228,969

3² × 13 × 19 × 103

228,969 factors as 3^2 × 13 × 19 × 103. Its 24 positive divisors give a proper-divisor sum of 149,591, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 378,560

Proper Divisor Sum 149,591

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #228961 ← → #228983

Radix Representation

Decimal	228969
Binary	110111111001101001 (18 bits)
Octal	0o677151
Hexadecimal	0x37E69

Divisor Catalog (24)

1 3 9 13 19 39 57 103 117 171 247 309 741 927 1,339 1,957 2,223 4,017 5,871 12,051 17,613 25,441 76,323 228,969

Collatz Trajectory (199 steps to reach 1)

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

228,969 686,908 343,454 171,727 515,182 257,591 772,774 386,387 1,159,162 579,581 1,738,744 869,372 434,686 217,343 652,030 326,015 978,046 489,023 1,467,070 733,535 2,200,606 1,100,303 3,300,910 1,650,455 4,951,366 2,475,683 7,427,050 3,713,525 11,140,576 5,570,288 2,785,144 1,392,572 696,286 348,143 1,044,430 522,215 1,566,646 783,323 2,349,970 1,174,985 3,524,956 1,762,478 881,239 2,643,718 1,321,859 3,965,578 1,982,789 5,948,368 2,974,184 1,487,092 743,546 371,773 1,115,320 557,660 278,830 139,415 418,246 209,123 627,370 313,685

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