λ
Sigma Notebook

5,868,330

2 × 3 × 5 × 13 × 41 × 367
Abundant Even Composite

5,868,330 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 13 × 41 × 367 and its 64 divisors sum to 15,579,648.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 41 × 367
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,579,648
Proper Divisor Sum 9,711,318
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5868307 ← → #5868347

Radix Representation

Decimal 5868330
Binary 10110011000101100101010 (23 bits)
Octal 0o26305452
Hexadecimal 0x598B2A

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 367 390 410 533 615 734 1,066 1,101 1,230 1,599 1,835 2,202 2,665 3,198 3,670 4,771 5,330 5,505 7,995 9,542 11,010 14,313 15,047 15,990 23,855 28,626 30,094 45,141 47,710 71,565 75,235 90,282 143,130 150,470 195,611 225,705 391,222 451,410 586,833 978,055

Collatz Trajectory (152 steps to reach 1)

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

5,868,330 2,934,165 8,802,496 4,401,248 2,200,624 1,100,312 550,156 275,078 137,539 412,618 206,309 618,928 309,464 154,732 77,366 38,683 116,050 58,025 174,076 87,038 43,519 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096 794,048 397,024 198,512 99,256 49,628 24,814 12,407 37,222

More profiles

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