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Atlas › Integer Profiles › Node 2,104,102

2,104,102

2 × 7 × 11 × 13 × 1051
Abundant Even Composite

2,104,102 factors as 2 × 7 × 11 × 13 × 1051. Its 32 positive divisors give a proper-divisor sum of 2,137,562, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 1051
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,241,664
Proper Divisor Sum 2,137,562
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #2104097 ← → #2104103

Radix Representation

Decimal 2104102
Binary 1000000001101100100110 (22 bits)
Octal 0o10015446
Hexadecimal 0x201B26

Divisor Catalog (32)

1 2 7 11 13 14 22 26 77 91 143 154 182 286 1,001 1,051 2,002 2,102 7,357 11,561 13,663 14,714 23,122 27,326 80,927 95,641 150,293 161,854 191,282 300,586 1,052,051 2,104,102

Collatz Trajectory (197 steps to reach 1)

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

2,104,102 1,052,051 3,156,154 1,578,077 4,734,232 2,367,116 1,183,558 591,779 1,775,338 887,669 2,663,008 1,331,504 665,752 332,876 166,438 83,219 249,658 124,829 374,488 187,244 93,622 46,811 140,434 70,217 210,652 105,326 52,663 157,990 78,995 236,986 118,493 355,480 177,740 88,870 44,435 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225

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