398,041

7 × 101 × 563

398,041 factors as 7 × 101 × 563. Its 8 positive divisors give a proper-divisor sum of 62,183, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 7 × 101 × 563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 460,224

Proper Divisor Sum 62,183

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #398039 ← → #398053

Radix Representation

Decimal	398041
Binary	1100001001011011001 (19 bits)
Octal	0o1411331
Hexadecimal	0x612D9

Divisor Catalog (8)

1 7 101 563 707 3,941 56,863 398,041

Collatz Trajectory (99 steps to reach 1)

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

398,041 1,194,124 597,062 298,531 895,594 447,797 1,343,392 671,696 335,848 167,924 83,962 41,981 125,944 62,972 31,486 15,743 47,230 23,615 70,846 35,423 106,270 53,135 159,406 79,703 239,110 119,555 358,666 179,333 538,000 269,000 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422

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