λ
Matchaa Zalai

8,782,670

2 × 5 × 13 × 67559
Deficient Even Composite

8,782,670 factors as 2 × 5 × 13 × 67559. Its 16 positive divisors give a proper-divisor sum of 8,242,450, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 67559
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,025,120
Proper Divisor Sum 8,242,450
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8782661 ← → #8782717

Radix Representation

Decimal 8782670
Binary 100001100000001101001110 (24 bits)
Octal 0o41401516
Hexadecimal 0x86034E

Divisor Catalog (16)

1 2 5 10 13 26 65 130 67,559 135,118 337,795 675,590 878,267 1,756,534 4,391,335 8,782,670

Collatz Trajectory (93 steps to reach 1)

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

8,782,670 4,391,335 13,174,006 6,587,003 19,761,010 9,880,505 29,641,516 14,820,758 7,410,379 22,231,138 11,115,569 33,346,708 16,673,354 8,336,677 25,010,032 12,505,016 6,252,508 3,126,254 1,563,127 4,689,382 2,344,691 7,034,074 3,517,037 10,551,112 5,275,556 2,637,778 1,318,889 3,956,668 1,978,334 989,167 2,967,502 1,483,751 4,451,254 2,225,627 6,676,882 3,338,441 10,015,324 5,007,662 2,503,831 7,511,494 3,755,747 11,267,242 5,633,621 16,900,864 8,450,432 4,225,216 2,112,608 1,056,304 528,152 264,076 132,038 66,019 198,058 99,029 297,088 148,544 74,272 37,136 18,568 9,284

More profiles

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