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Atlas › Integer Profiles › Node 1,057,602

1,057,602

2 × 3 × 7 × 132 × 149
Abundant Even Composite

1,057,602 factors as 2 × 3 × 7 × 13^2 × 149. Its 48 positive divisors give a proper-divisor sum of 1,577,598, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13^2 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,635,200
Proper Divisor Sum 1,577,598
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1057579 ← → #1057603

Radix Representation

Decimal 1057602
Binary 100000010001101000010 (21 bits)
Octal 0o4021502
Hexadecimal 0x102342

Divisor Catalog (48)

1 2 3 6 7 13 14 21 26 39 42 78 91 149 169 182 273 298 338 447 507 546 894 1,014 1,043 1,183 1,937 2,086 2,366 3,129 3,549 3,874 5,811 6,258 7,098 11,622 13,559 25,181 27,118 40,677 50,362 75,543 81,354 151,086 176,267 352,534 528,801 1,057,602

Collatz Trajectory (103 steps to reach 1)

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

1,057,602 528,801 1,586,404 793,202 396,601 1,189,804 594,902 297,451 892,354 446,177 1,338,532 669,266 334,633 1,003,900 501,950 250,975 752,926 376,463 1,129,390 564,695 1,694,086 847,043 2,541,130 1,270,565 3,811,696 1,905,848 952,924 476,462 238,231 714,694 357,347 1,072,042 536,021 1,608,064 804,032 402,016 201,008 100,504 50,252 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256

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