8,501,010

2 × 3 × 5 × 7² × 5783

8,501,010 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 7^2 × 5783 and its 48 divisors sum to 23,737,536.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 5783

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,737,536

Proper Divisor Sum 15,236,526

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #8500967 ← → #8501011

Radix Representation

Decimal	8501010
Binary	100000011011011100010010 (24 bits)
Octal	0o40333422
Hexadecimal	0x81B712

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,470 5,783 11,566 17,349 28,915 34,698 40,481 57,830 80,962 86,745 121,443 173,490 202,405 242,886 283,367 404,810 566,734 607,215 850,101 1,214,430 1,416,835 1,700,202 2,833,670 4,250,505 8,501,010

Collatz Trajectory (106 steps to reach 1)

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

8,501,010 4,250,505 12,751,516 6,375,758 3,187,879 9,563,638 4,781,819 14,345,458 7,172,729 21,518,188 10,759,094 5,379,547 16,138,642 8,069,321 24,207,964 12,103,982 6,051,991 18,155,974 9,077,987 27,233,962 13,616,981 40,850,944 20,425,472 10,212,736 5,106,368 2,553,184 1,276,592 638,296 319,148 159,574 79,787 239,362 119,681 359,044 179,522 89,761 269,284 134,642 67,321 201,964 100,982 50,491 151,474 75,737 227,212 113,606 56,803 170,410 85,205 255,616 127,808 63,904 31,952 15,976 7,988 3,994 1,997 5,992 2,996 1,498

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