λ
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Atlas › Integer Profiles › Node 3,533,950

3,533,950

2 × 52 × 7 × 23 × 439
Abundant Even Composite

3,533,950 factors as 2 × 5^2 × 7 × 23 × 439. Its 48 positive divisors give a proper-divisor sum of 4,322,690, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 23 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,856,640
Proper Divisor Sum 4,322,690
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3533939 ← → #3533953

Radix Representation

Decimal 3533950
Binary 1101011110110001111110 (22 bits)
Octal 0o15366176
Hexadecimal 0x35EC7E

Divisor Catalog (48)

1 2 5 7 10 14 23 25 35 46 50 70 115 161 175 230 322 350 439 575 805 878 1,150 1,610 2,195 3,073 4,025 4,390 6,146 8,050 10,097 10,975 15,365 20,194 21,950 30,730 50,485 70,679 76,825 100,970 141,358 153,650 252,425 353,395 504,850 706,790 1,766,975 3,533,950

Collatz Trajectory (128 steps to reach 1)

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

3,533,950 1,766,975 5,300,926 2,650,463 7,951,390 3,975,695 11,927,086 5,963,543 17,890,630 8,945,315 26,835,946 13,417,973 40,253,920 20,126,960 10,063,480 5,031,740 2,515,870 1,257,935 3,773,806 1,886,903 5,660,710 2,830,355 8,491,066 4,245,533 12,736,600 6,368,300 3,184,150 1,592,075 4,776,226 2,388,113 7,164,340 3,582,170 1,791,085 5,373,256 2,686,628 1,343,314 671,657 2,014,972 1,007,486 503,743 1,511,230 755,615 2,266,846 1,133,423 3,400,270 1,700,135 5,100,406 2,550,203 7,650,610 3,825,305 11,475,916 5,737,958 2,868,979 8,606,938 4,303,469 12,910,408 6,455,204 3,227,602 1,613,801 4,841,404

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