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Atlas › Integer Profiles › Node 3,359,010

3,359,010

2 × 3 × 5 × 19 × 71 × 83
Abundant Even Composite

3,359,010 factors as 2 × 3 × 5 × 19 × 71 × 83. Its 64 positive divisors give a proper-divisor sum of 5,350,110, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 71 × 83
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,709,120
Proper Divisor Sum 5,350,110
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3358997 ← → #3359011

Radix Representation

Decimal 3359010
Binary 1100110100000100100010 (22 bits)
Octal 0o14640442
Hexadecimal 0x334122

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 19 30 38 57 71 83 95 114 142 166 190 213 249 285 355 415 426 498 570 710 830 1,065 1,245 1,349 1,577 2,130 2,490 2,698 3,154 4,047 4,731 5,893 6,745 7,885 8,094 9,462 11,786 13,490 15,770 17,679 20,235 23,655 29,465 35,358 40,470 47,310 58,930 88,395 111,967 176,790 223,934 335,901 559,835

Collatz Trajectory (208 steps to reach 1)

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

3,359,010 1,679,505 5,038,516 2,519,258 1,259,629 3,778,888 1,889,444 944,722 472,361 1,417,084 708,542 354,271 1,062,814 531,407 1,594,222 797,111 2,391,334 1,195,667 3,587,002 1,793,501 5,380,504 2,690,252 1,345,126 672,563 2,017,690 1,008,845 3,026,536 1,513,268 756,634 378,317 1,134,952 567,476 283,738 141,869 425,608 212,804 106,402 53,201 159,604 79,802 39,901 119,704 59,852 29,926 14,963 44,890 22,445 67,336 33,668 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310

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