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Atlas › Integer Profiles › Node 3,200,535

3,200,535

32 × 5 × 13 × 5471
Deficient Odd Composite

3,200,535 factors as 3^2 × 5 × 13 × 5471. Its 24 positive divisors give a proper-divisor sum of 2,774,889, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 5471
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,975,424
Proper Divisor Sum 2,774,889
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3200507 ← → #3200543

Radix Representation

Decimal 3200535
Binary 1100001101011000010111 (22 bits)
Octal 0o14153027
Hexadecimal 0x30D617

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 5,471 16,413 27,355 49,239 71,123 82,065 213,369 246,195 355,615 640,107 1,066,845 3,200,535

Collatz Trajectory (120 steps to reach 1)

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

3,200,535 9,601,606 4,800,803 14,402,410 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

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