λ
Sigma Notebook

8,162,910

2 × 33 × 5 × 72 × 617
Abundant Even Composite

8,162,910 is even and not a perfect square. Its factorization is 2 × 3^3 × 5 × 7^2 × 617 and its 96 divisors sum to 25,362,720.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7^2 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 25,362,720
Proper Divisor Sum 17,199,810
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8162899 ← → #8162929

Radix Representation

Decimal 8162910
Binary 11111001000111001011110 (23 bits)
Octal 0o37107136
Hexadecimal 0x7C8E5E

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 617 630 735 882 945 1,234 1,323 1,470 1,851 1,890 2,205 2,646 3,085 3,702 4,319 4,410 5,553 6,170 6,615 8,638 9,255 11,106 12,957 13,230

Collatz Trajectory (186 steps to reach 1)

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

8,162,910 4,081,455 12,244,366 6,122,183 18,366,550 9,183,275 27,549,826 13,774,913 41,324,740 20,662,370 10,331,185 30,993,556 15,496,778 7,748,389 23,245,168 11,622,584 5,811,292 2,905,646 1,452,823 4,358,470 2,179,235 6,537,706 3,268,853 9,806,560 4,903,280 2,451,640 1,225,820 612,910 306,455 919,366 459,683 1,379,050 689,525 2,068,576 1,034,288 517,144 258,572 129,286 64,643 193,930 96,965 290,896 145,448 72,724 36,362 18,181 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439

More profiles

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