λ
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Atlas › Integer Profiles › Node 3,146,110

3,146,110

2 × 5 × 11 × 37 × 773
Abundant Even Composite

3,146,110 factors as 2 × 5 × 11 × 37 × 773. Its 32 positive divisors give a proper-divisor sum of 3,206,882, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 37 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,352,992
Proper Divisor Sum 3,206,882
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3146107 ← → #3146131

Radix Representation

Decimal 3146110
Binary 1100000000000101111110 (22 bits)
Octal 0o14000576
Hexadecimal 0x30017E

Divisor Catalog (32)

1 2 5 10 11 22 37 55 74 110 185 370 407 773 814 1,546 2,035 3,865 4,070 7,730 8,503 17,006 28,601 42,515 57,202 85,030 143,005 286,010 314,611 629,222 1,573,055 3,146,110

Collatz Trajectory (102 steps to reach 1)

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

3,146,110 1,573,055 4,719,166 2,359,583 7,078,750 3,539,375 10,618,126 5,309,063 15,927,190 7,963,595 23,890,786 11,945,393 35,836,180 17,918,090 8,959,045 26,877,136 13,438,568 6,719,284 3,359,642 1,679,821 5,039,464 2,519,732 1,259,866 629,933 1,889,800 944,900 472,450 236,225 708,676 354,338 177,169 531,508 265,754 132,877 398,632 199,316 99,658 49,829 149,488 74,744 37,372 18,686 9,343 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738

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