λ
Sigma Notebook

4,383,180

22 × 33 × 5 × 8117
Abundant Even Composite

4,383,180 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 5 × 8117 and its 48 divisors sum to 13,638,240.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 8117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,638,240
Proper Divisor Sum 9,255,060
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4383163 ← → #4383191

Radix Representation

Decimal 4383180
Binary 10000101110000111001100 (23 bits)
Octal 0o20560714
Hexadecimal 0x42E1CC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 8,117 16,234 24,351 32,468 40,585 48,702 73,053 81,170 97,404 121,755 146,106 162,340 219,159 243,510 292,212 365,265 438,318 487,020 730,530 876,636 1,095,795 1,461,060 2,191,590 4,383,180

Collatz Trajectory (87 steps to reach 1)

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

4,383,180 2,191,590 1,095,795 3,287,386 1,643,693 4,931,080 2,465,540 1,232,770 616,385 1,849,156 924,578 462,289 1,386,868 693,434 346,717 1,040,152 520,076 260,038 130,019 390,058 195,029 585,088 292,544 146,272 73,136 36,568 18,284 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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