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Atlas › Integer Profiles › Node 3,915,366

3,915,366

2 × 3 × 7 × 13 × 71 × 101
Abundant Even Composite

3,915,366 factors as 2 × 3 × 7 × 13 × 71 × 101. Its 64 positive divisors give a proper-divisor sum of 5,954,970, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 71 × 101
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,870,336
Proper Divisor Sum 5,954,970
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3915361 ← → #3915371

Radix Representation

Decimal 3915366
Binary 1110111011111001100110 (22 bits)
Octal 0o16737146
Hexadecimal 0x3BBE66

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 21 26 39 42 71 78 91 101 142 182 202 213 273 303 426 497 546 606 707 923 994 1,313 1,414 1,491 1,846 2,121 2,626 2,769 2,982 3,939 4,242 5,538 6,461 7,171 7,878 9,191 12,922 14,342 18,382 19,383 21,513 27,573 38,766 43,026 50,197 55,146 93,223 100,394 150,591 186,446 279,669 301,182 559,338

Collatz Trajectory (185 steps to reach 1)

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

3,915,366 1,957,683 5,873,050 2,936,525 8,809,576 4,404,788 2,202,394 1,101,197 3,303,592 1,651,796 825,898 412,949 1,238,848 619,424 309,712 154,856 77,428 38,714 19,357 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141

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