3³ × 7 × 11² × 17

Prime Factor Structure

Factorization String 3^3 × 7 × 11^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 766,080

Proper Divisor Sum 377,307

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #388757 ← → #388777

1 3 7 9 11 17 21 27 33 51 63 77 99 119 121 153 187 189 231 297 357 363 459 561 693 847 1,071 1,089 1,309 1,683 2,057 2,079 2,541 3,213 3,267 3,927 5,049 6,171 7,623 11,781 14,399 18,513 22,869 35,343 43,197 55,539 129,591 388,773

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

388,773 1,166,320 583,160 291,580 145,790 72,895 218,686 109,343 328,030 164,015 492,046 246,023 738,070 369,035 1,107,106 553,553 1,660,660 830,330 415,165 1,245,496 622,748 311,374 155,687 467,062 233,531 700,594 350,297 1,050,892 525,446 262,723 788,170 394,085 1,182,256 591,128 295,564 147,782 73,891 221,674 110,837 332,512 166,256 83,128 41,564 20,782 10,391 31,174 15,587 46,762 23,381 70,144 35,072 17,536 8,768 4,384 2,192 1,096 548 274 137 412

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