398,145

3 × 5 × 11 × 19 × 127

398,145 factors as 3 × 5 × 11 × 19 × 127. Its 32 positive divisors give a proper-divisor sum of 339,135, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 19 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 737,280

Proper Divisor Sum 339,135

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #398143 ← → #398149

Radix Representation

Decimal	398145
Binary	1100001001101000001 (19 bits)
Octal	0o1411501
Hexadecimal	0x61341

Divisor Catalog (32)

1 3 5 11 15 19 33 55 57 95 127 165 209 285 381 627 635 1,045 1,397 1,905 2,413 3,135 4,191 6,985 7,239 12,065 20,955 26,543 36,195 79,629 132,715 398,145

Collatz Trajectory (143 steps to reach 1)

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

398,145 1,194,436 597,218 298,609 895,828 447,914 223,957 671,872 335,936 167,968 83,984 41,992 20,996 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167

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