λ
Sigma Notebook

8,933,740

22 × 5 × 29 × 73 × 211
Abundant Even Composite

8,933,740 is even and not a perfect square. Its factorization is 2^2 × 5 × 29 × 73 × 211 and its 48 divisors sum to 19,766,880.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 73 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,766,880
Proper Divisor Sum 10,833,140
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8933737 ← → #8933741

Radix Representation

Decimal 8933740
Binary 100010000101000101101100 (24 bits)
Octal 0o42050554
Hexadecimal 0x88516C

Divisor Catalog (48)

1 2 4 5 10 20 29 58 73 116 145 146 211 290 292 365 422 580 730 844 1,055 1,460 2,110 2,117 4,220 4,234 6,119 8,468 10,585 12,238 15,403 21,170 24,476 30,595 30,806 42,340 61,190 61,612 77,015 122,380 154,030 308,060 446,687 893,374 1,786,748 2,233,435 4,466,870 8,933,740

Collatz Trajectory (256 steps to reach 1)

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

8,933,740 4,466,870 2,233,435 6,700,306 3,350,153 10,050,460 5,025,230 2,512,615 7,537,846 3,768,923 11,306,770 5,653,385 16,960,156 8,480,078 4,240,039 12,720,118 6,360,059 19,080,178 9,540,089 28,620,268 14,310,134 7,155,067 21,465,202 10,732,601 32,197,804 16,098,902 8,049,451 24,148,354 12,074,177 36,222,532 18,111,266 9,055,633 27,166,900 13,583,450 6,791,725 20,375,176 10,187,588 5,093,794 2,546,897 7,640,692 3,820,346 1,910,173 5,730,520 2,865,260 1,432,630 716,315 2,148,946 1,074,473 3,223,420 1,611,710 805,855 2,417,566 1,208,783 3,626,350 1,813,175 5,439,526 2,719,763 8,159,290 4,079,645 12,238,936

More profiles

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