398,007

3³ × 14741

398,007 factors as 3^3 × 14741. Its 8 positive divisors give a proper-divisor sum of 191,673, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 3^3 × 14741

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 589,680

Proper Divisor Sum 191,673

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #397981 ← → #398011

Radix Representation

Decimal	398007
Binary	1100001001010110111 (19 bits)
Octal	0o1411267
Hexadecimal	0x612B7

Divisor Catalog (8)

1 3 9 27 14,741 44,223 132,669 398,007

Collatz Trajectory (117 steps to reach 1)

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

398,007 1,194,022 597,011 1,791,034 895,517 2,686,552 1,343,276 671,638 335,819 1,007,458 503,729 1,511,188 755,594 377,797 1,133,392 566,696 283,348 141,674 70,837 212,512 106,256 53,128 26,564 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425

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