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Atlas › Integer Profiles › Node 5,756,030

5,756,030

2 × 5 × 72 × 17 × 691
Abundant Even Composite

5,756,030 factors as 2 × 5 × 7^2 × 17 × 691. Its 48 positive divisors give a proper-divisor sum of 7,023,826, so this integer is abundant. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 17 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,779,856
Proper Divisor Sum 7,023,826
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5756027 ← → #5756059

Radix Representation

Decimal 5756030
Binary 10101111101010001111110 (23 bits)
Octal 0o25752176
Hexadecimal 0x57D47E

Divisor Catalog (48)

1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 691 833 1,190 1,382 1,666 3,455 4,165 4,837 6,910 8,330 9,674 11,747 23,494 24,185 33,859 48,370 58,735 67,718 82,229 117,470 164,458 169,295 338,590 411,145 575,603 822,290 1,151,206 2,878,015 5,756,030

Collatz Trajectory (276 steps to reach 1)

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

5,756,030 2,878,015 8,634,046 4,317,023 12,951,070 6,475,535 19,426,606 9,713,303 29,139,910 14,569,955 43,709,866 21,854,933 65,564,800 32,782,400 16,391,200 8,195,600 4,097,800 2,048,900 1,024,450 512,225 1,536,676 768,338 384,169 1,152,508 576,254 288,127 864,382 432,191 1,296,574 648,287 1,944,862 972,431 2,917,294 1,458,647 4,375,942 2,187,971 6,563,914 3,281,957 9,845,872 4,922,936 2,461,468 1,230,734 615,367 1,846,102 923,051 2,769,154 1,384,577 4,153,732 2,076,866 1,038,433 3,115,300 1,557,650 778,825 2,336,476 1,168,238 584,119 1,752,358 876,179 2,628,538 1,314,269

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