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Atlas › Integer Profiles › Node 32,030,295

32,030,295

3 × 5 × 11 × 17 × 19 × 601
Deficient Odd Composite

32,030,295 factors as 3 × 5 × 11 × 17 × 19 × 601. Its 64 positive divisors give a proper-divisor sum of 30,385,065, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 19 × 601
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 62,415,360
Proper Divisor Sum 30,385,065
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #32030293 ← → #32030353

Radix Representation

Decimal 32030295
Binary 1111010001011111001010111 (25 bits)
Octal 0o172137127
Hexadecimal 0x1E8BE57

Divisor Catalog (60 of 64)

1 3 5 11 15 17 19 33 51 55 57 85 95 165 187 209 255 285 323 561 601 627 935 969 1,045 1,615 1,803 2,805 3,005 3,135 3,553 4,845 6,611 9,015 10,217 10,659 11,419 17,765 19,833 30,651 33,055 34,257 51,085 53,295 57,095 99,165 112,387 125,609 153,255 171,285 194,123 337,161 376,827 561,935 582,369 628,045 970,615 1,685,805 1,884,135 2,135,353

Collatz Trajectory (170 steps to reach 1)

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

32,030,295 96,090,886 48,045,443 144,136,330 72,068,165 216,204,496 108,102,248 54,051,124 27,025,562 13,512,781 40,538,344 20,269,172 10,134,586 5,067,293 15,201,880 7,600,940 3,800,470 1,900,235 5,700,706 2,850,353 8,551,060 4,275,530 2,137,765 6,413,296 3,206,648 1,603,324 801,662 400,831 1,202,494 601,247 1,803,742 901,871 2,705,614 1,352,807 4,058,422 2,029,211 6,087,634 3,043,817 9,131,452 4,565,726 2,282,863 6,848,590 3,424,295 10,272,886 5,136,443 15,409,330 7,704,665 23,113,996 11,556,998 5,778,499 17,335,498 8,667,749 26,003,248 13,001,624 6,500,812 3,250,406 1,625,203 4,875,610 2,437,805 7,313,416

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