λ
Prime Ledger

6,317,710

2 × 5 × 7 × 17 × 5309
Abundant Even Composite

6,317,710 has the prime decomposition 2 × 5 × 7 × 17 × 5309. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 5309
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,763,520
Proper Divisor Sum 7,445,810
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6317699 ← → #6317719

Radix Representation

Decimal 6317710
Binary 11000000110011010001110 (23 bits)
Octal 0o30063216
Hexadecimal 0x60668E

Divisor Catalog (32)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1,190 5,309 10,618 26,545 37,163 53,090 74,326 90,253 180,506 185,815 371,630 451,265 631,771 902,530 1,263,542 3,158,855 6,317,710

Collatz Trajectory (126 steps to reach 1)

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

6,317,710 3,158,855 9,476,566 4,738,283 14,214,850 7,107,425 21,322,276 10,661,138 5,330,569 15,991,708 7,995,854 3,997,927 11,993,782 5,996,891 17,990,674 8,995,337 26,986,012 13,493,006 6,746,503 20,239,510 10,119,755 30,359,266 15,179,633 45,538,900 22,769,450 11,384,725 34,154,176 17,077,088 8,538,544 4,269,272 2,134,636 1,067,318 533,659 1,600,978 800,489 2,401,468 1,200,734 600,367 1,801,102 900,551 2,701,654 1,350,827 4,052,482 2,026,241 6,078,724 3,039,362 1,519,681 4,559,044 2,279,522 1,139,761 3,419,284 1,709,642 854,821 2,564,464 1,282,232 641,116 320,558 160,279 480,838 240,419

More profiles

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