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Atlas › Integer Profiles › Node 32,838,526

32,838,526

2 × 72 × 17 × 23 × 857
Deficient Even Composite

32,838,526 factors as 2 × 7^2 × 17 × 23 × 857. Its 48 positive divisors give a proper-divisor sum of 30,543,650, so this integer is deficient. The Collatz stopping time is 338 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 17 × 23 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,382,176
Proper Divisor Sum 30,543,650
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #32838511 ← → #32838529

Radix Representation

Decimal 32838526
Binary 1111101010001001101111110 (25 bits)
Octal 0o175211576
Hexadecimal 0x1F5137E

Divisor Catalog (48)

1 2 7 14 17 23 34 46 49 98 119 161 238 322 391 782 833 857 1,127 1,666 1,714 2,254 2,737 5,474 5,999 11,998 14,569 19,159 19,711 29,138 38,318 39,422 41,993 83,986 101,983 137,977 203,966 275,954 335,087 670,174 713,881 965,839 1,427,762 1,931,678 2,345,609 4,691,218 16,419,263 32,838,526

Collatz Trajectory (338 steps to reach 1)

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

32,838,526 16,419,263 49,257,790 24,628,895 73,886,686 36,943,343 110,830,030 55,415,015 166,245,046 83,122,523 249,367,570 124,683,785 374,051,356 187,025,678 93,512,839 280,538,518 140,269,259 420,807,778 210,403,889 631,211,668 315,605,834 157,802,917 473,408,752 236,704,376 118,352,188 59,176,094 29,588,047 88,764,142 44,382,071 133,146,214 66,573,107 199,719,322 99,859,661 299,578,984 149,789,492 74,894,746 37,447,373 112,342,120 56,171,060 28,085,530 14,042,765 42,128,296 21,064,148 10,532,074 5,266,037 15,798,112 7,899,056 3,949,528 1,974,764 987,382 493,691 1,481,074 740,537 2,221,612 1,110,806 555,403 1,666,210 833,105 2,499,316 1,249,658

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