198,615

3 × 5 × 13241

198,615 factors as 3 × 5 × 13241. Its 8 positive divisors give a proper-divisor sum of 119,193, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 317,808

Proper Divisor Sum 119,193

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #198613 ← → #198623

Radix Representation

Decimal	198615
Binary	110000011111010111 (18 bits)
Octal	0o603727
Hexadecimal	0x307D7

Divisor Catalog (8)

1 3 5 15 13,241 39,723 66,205 198,615

Collatz Trajectory (98 steps to reach 1)

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

198,615 595,846 297,923 893,770 446,885 1,340,656 670,328 335,164 167,582 83,791 251,374 125,687 377,062 188,531 565,594 282,797 848,392 424,196 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556 16,778 8,389 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211

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