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Atlas › Integer Profiles › Node 5,835,050

5,835,050

2 × 52 × 13 × 47 × 191
Abundant Even Composite

5,835,050 factors as 2 × 5^2 × 13 × 47 × 191. Its 48 positive divisors give a proper-divisor sum of 6,164,182, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 47 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,999,232
Proper Divisor Sum 6,164,182
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5835043 ← → #5835059

Radix Representation

Decimal 5835050
Binary 10110010000100100101010 (23 bits)
Octal 0o26204452
Hexadecimal 0x59092A

Divisor Catalog (48)

1 2 5 10 13 25 26 47 50 65 94 130 191 235 325 382 470 611 650 955 1,175 1,222 1,910 2,350 2,483 3,055 4,775 4,966 6,110 8,977 9,550 12,415 15,275 17,954 24,830 30,550 44,885 62,075 89,770 116,701 124,150 224,425 233,402 448,850 583,505 1,167,010 2,917,525 5,835,050

Collatz Trajectory (152 steps to reach 1)

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

5,835,050 2,917,525 8,752,576 4,376,288 2,188,144 1,094,072 547,036 273,518 136,759 410,278 205,139 615,418 307,709 923,128 461,564 230,782 115,391 346,174 173,087 519,262 259,631 778,894 389,447 1,168,342 584,171 1,752,514 876,257 2,628,772 1,314,386 657,193 1,971,580 985,790 492,895 1,478,686 739,343 2,218,030 1,109,015 3,327,046 1,663,523 4,990,570 2,495,285 7,485,856 3,742,928 1,871,464 935,732 467,866 233,933 701,800 350,900 175,450 87,725 263,176 131,588 65,794 32,897 98,692 49,346 24,673 74,020 37,010

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