6,315,785

5 × 7 × 31 × 5821

6,315,785 factors as 5 × 7 × 31 × 5821. Its 16 positive divisors give a proper-divisor sum of 2,626,807, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 5 × 7 × 31 × 5821

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,942,592

Proper Divisor Sum 2,626,807

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6315781 ← → #6315791

Radix Representation

Decimal	6315785
Binary	11000000101111100001001 (23 bits)
Octal	0o30057411
Hexadecimal	0x605F09

Divisor Catalog (16)

1 5 7 31 35 155 217 1,085 5,821 29,105 40,747 180,451 203,735 902,255 1,263,157 6,315,785

Collatz Trajectory (126 steps to reach 1)

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

6,315,785 18,947,356 9,473,678 4,736,839 14,210,518 7,105,259 21,315,778 10,657,889 31,973,668 15,986,834 7,993,417 23,980,252 11,990,126 5,995,063 17,985,190 8,992,595 26,977,786 13,488,893 40,466,680 20,233,340 10,116,670 5,058,335 15,175,006 7,587,503 22,762,510 11,381,255 34,143,766 17,071,883 51,215,650 25,607,825 76,823,476 38,411,738 19,205,869 57,617,608 28,808,804 14,404,402 7,202,201 21,606,604 10,803,302 5,401,651 16,204,954 8,102,477 24,307,432 12,153,716 6,076,858 3,038,429 9,115,288 4,557,644 2,278,822 1,139,411 3,418,234 1,709,117 5,127,352 2,563,676 1,281,838 640,919 1,922,758 961,379 2,884,138 1,442,069

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