388,989

3³ × 14407

388,989 factors as 3^3 × 14407. Its 8 positive divisors give a proper-divisor sum of 187,331, so this integer is deficient. The Collatz stopping time is 267 steps.

Prime Factor Structure

Factorization String 3^3 × 14407

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 576,320

Proper Divisor Sum 187,331

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #388963 ← → #388991

Radix Representation

Decimal	388989
Binary	1011110111101111101 (19 bits)
Octal	0o1367575
Hexadecimal	0x5EF7D

Divisor Catalog (8)

1 3 9 27 14,407 43,221 129,663 388,989

Collatz Trajectory (267 steps to reach 1)

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

388,989 1,166,968 583,484 291,742 145,871 437,614 218,807 656,422 328,211 984,634 492,317 1,476,952 738,476 369,238 184,619 553,858 276,929 830,788 415,394 207,697 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798 110,899 332,698 166,349 499,048 249,524 124,762 62,381 187,144 93,572 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828

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