388,044

2² × 3³ × 3593

388,044 factors as 2^2 × 3^3 × 3593. Its 24 positive divisors give a proper-divisor sum of 618,276, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 3593

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,006,320

Proper Divisor Sum 618,276

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #388009 ← → #388051

Radix Representation

Decimal	388044
Binary	1011110101111001100 (19 bits)
Octal	0o1365714
Hexadecimal	0x5EBCC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 3,593 7,186 10,779 14,372 21,558 32,337 43,116 64,674 97,011 129,348 194,022 388,044

Collatz Trajectory (148 steps to reach 1)

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

388,044 194,022 97,011 291,034 145,517 436,552 218,276 109,138 54,569 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412

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