397,779

3 × 67 × 1979

397,779 factors as 3 × 67 × 1979. Its 8 positive divisors give a proper-divisor sum of 140,781, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3 × 67 × 1979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 538,560

Proper Divisor Sum 140,781

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #397763 ← → #397799

Radix Representation

Decimal	397779
Binary	1100001000111010011 (19 bits)
Octal	0o1410723
Hexadecimal	0x611D3

Divisor Catalog (8)

1 3 67 201 1,979 5,937 132,593 397,779

Collatz Trajectory (99 steps to reach 1)

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

397,779 1,193,338 596,669 1,790,008 895,004 447,502 223,751 671,254 335,627 1,006,882 503,441 1,510,324 755,162 377,581 1,132,744 566,372 283,186 141,593 424,780 212,390 106,195 318,586 159,293 477,880 238,940 119,470 59,735 179,206 89,603 268,810 134,405 403,216 201,608 100,804 50,402 25,201 75,604 37,802 18,901 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422

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