332,199

3² × 7 × 5273

332,199 factors as 3^2 × 7 × 5273. Its 12 positive divisors give a proper-divisor sum of 216,297, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 5273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 548,496

Proper Divisor Sum 216,297

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #332191 ← → #332201

Radix Representation

Decimal	332199
Binary	1010001000110100111 (19 bits)
Octal	0o1210647
Hexadecimal	0x511A7

Divisor Catalog (12)

1 3 7 9 21 63 5,273 15,819 36,911 47,457 110,733 332,199

Collatz Trajectory (215 steps to reach 1)

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

332,199 996,598 498,299 1,494,898 747,449 2,242,348 1,121,174 560,587 1,681,762 840,881 2,522,644 1,261,322 630,661 1,891,984 945,992 472,996 236,498 118,249 354,748 177,374 88,687 266,062 133,031 399,094 199,547 598,642 299,321 897,964 448,982 224,491 673,474 336,737 1,010,212 505,106 252,553 757,660 378,830 189,415 568,246 284,123 852,370 426,185 1,278,556 639,278 319,639 958,918 479,459 1,438,378 719,189 2,157,568 1,078,784 539,392 269,696 134,848 67,424 33,712 16,856 8,428 4,214 2,107

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