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Atlas › Integer Profiles › Node 1,960,270

1,960,270

2 × 5 × 13 × 17 × 887
Abundant Even Composite

1,960,270 factors as 2 × 5 × 13 × 17 × 887. Its 32 positive divisors give a proper-divisor sum of 2,067,698, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,027,968
Proper Divisor Sum 2,067,698
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1960261 ← → #1960271

Radix Representation

Decimal 1960270
Binary 111011110100101001110 (21 bits)
Octal 0o7364516
Hexadecimal 0x1DE94E

Divisor Catalog (32)

1 2 5 10 13 17 26 34 65 85 130 170 221 442 887 1,105 1,774 2,210 4,435 8,870 11,531 15,079 23,062 30,158 57,655 75,395 115,310 150,790 196,027 392,054 980,135 1,960,270

Collatz Trajectory (153 steps to reach 1)

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

1,960,270 980,135 2,940,406 1,470,203 4,410,610 2,205,305 6,615,916 3,307,958 1,653,979 4,961,938 2,480,969 7,442,908 3,721,454 1,860,727 5,582,182 2,791,091 8,373,274 4,186,637 12,559,912 6,279,956 3,139,978 1,569,989 4,709,968 2,354,984 1,177,492 588,746 294,373 883,120 441,560 220,780 110,390 55,195 165,586 82,793 248,380 124,190 62,095 186,286 93,143 279,430 139,715 419,146 209,573 628,720 314,360 157,180 78,590 39,295 117,886 58,943 176,830 88,415 265,246 132,623 397,870 198,935 596,806 298,403 895,210 447,605

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