3,211,257

3 × 7 × 29 × 5273

3,211,257 factors as 3 × 7 × 29 × 5273. Its 16 positive divisors give a proper-divisor sum of 1,851,783, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 5273

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,063,040

Proper Divisor Sum 1,851,783

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3211213 ← → #3211279

Radix Representation

Decimal	3211257
Binary	1100001111111111111001 (22 bits)
Octal	0o14177771
Hexadecimal	0x30FFF9

Divisor Catalog (16)

1 3 7 21 29 87 203 609 5,273 15,819 36,911 110,733 152,917 458,751 1,070,419 3,211,257

Collatz Trajectory (146 steps to reach 1)

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

3,211,257 9,633,772 4,816,886 2,408,443 7,225,330 3,612,665 10,837,996 5,418,998 2,709,499 8,128,498 4,064,249 12,192,748 6,096,374 3,048,187 9,144,562 4,572,281 13,716,844 6,858,422 3,429,211 10,287,634 5,143,817 15,431,452 7,715,726 3,857,863 11,573,590 5,786,795 17,360,386 8,680,193 26,040,580 13,020,290 6,510,145 19,530,436 9,765,218 4,882,609 14,647,828 7,323,914 3,661,957 10,985,872 5,492,936 2,746,468 1,373,234 686,617 2,059,852 1,029,926 514,963 1,544,890 772,445 2,317,336 1,158,668 579,334 289,667 869,002 434,501 1,303,504 651,752 325,876 162,938 81,469 244,408 122,204

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