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Atlas › Integer Profiles › Node 3,370,794

3,370,794

2 × 3 × 7 × 17 × 4721
Abundant Even Composite

3,370,794 factors as 2 × 3 × 7 × 17 × 4721. Its 32 positive divisors give a proper-divisor sum of 4,788,822, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 4721
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,159,616
Proper Divisor Sum 4,788,822
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3370789 ← → #3370817

Radix Representation

Decimal 3370794
Binary 1100110110111100101010 (22 bits)
Octal 0o14667452
Hexadecimal 0x336F2A

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 4,721 9,442 14,163 28,326 33,047 66,094 80,257 99,141 160,514 198,282 240,771 481,542 561,799 1,123,598 1,685,397 3,370,794

Collatz Trajectory (71 steps to reach 1)

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

3,370,794 1,685,397 5,056,192 2,528,096 1,264,048 632,024 316,012 158,006 79,003 237,010 118,505 355,516 177,758 88,879 266,638 133,319 399,958 199,979 599,938 299,969 899,908 449,954 224,977 674,932 337,466 168,733 506,200 253,100 126,550 63,275 189,826 94,913 284,740 142,370 71,185 213,556 106,778 53,389 160,168 80,084 40,042 20,021 60,064 30,032 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17

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