7,201,205

5 × 11 × 311 × 421

7,201,205 factors as 5 × 11 × 311 × 421. Its 16 positive divisors give a proper-divisor sum of 2,278,603, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 5 × 11 × 311 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,479,808

Proper Divisor Sum 2,278,603

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7201189 ← → #7201211

Radix Representation

Decimal	7201205
Binary	11011011110000110110101 (23 bits)
Octal	0o33360665
Hexadecimal	0x6DE1B5

Divisor Catalog (16)

1 5 11 55 311 421 1,555 2,105 3,421 4,631 17,105 23,155 130,931 654,655 1,440,241 7,201,205

Collatz Trajectory (116 steps to reach 1)

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

7,201,205 21,603,616 10,801,808 5,400,904 2,700,452 1,350,226 675,113 2,025,340 1,012,670 506,335 1,519,006 759,503 2,278,510 1,139,255 3,417,766 1,708,883 5,126,650 2,563,325 7,689,976 3,844,988 1,922,494 961,247 2,883,742 1,441,871 4,325,614 2,162,807 6,488,422 3,244,211 9,732,634 4,866,317 14,598,952 7,299,476 3,649,738 1,824,869 5,474,608 2,737,304 1,368,652 684,326 342,163 1,026,490 513,245 1,539,736 769,868 384,934 192,467 577,402 288,701 866,104 433,052 216,526 108,263 324,790 162,395 487,186 243,593 730,780 365,390 182,695 548,086 274,043

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