λ
Sigma Notebook

5,540,148

22 × 32 × 23 × 6691
Abundant Even Composite

5,540,148 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 23 × 6691 and its 36 divisors sum to 14,615,328.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 6691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,615,328
Proper Divisor Sum 9,075,180
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5540141 ← → #5540173

Radix Representation

Decimal 5540148
Binary 10101001000100100110100 (23 bits)
Octal 0o25104464
Hexadecimal 0x548934

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 6,691 13,382 20,073 26,764 40,146 60,219 80,292 120,438 153,893 240,876 307,786 461,679 615,572 923,358 1,385,037 1,846,716 2,770,074 5,540,148

Collatz Trajectory (82 steps to reach 1)

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

5,540,148 2,770,074 1,385,037 4,155,112 2,077,556 1,038,778 519,389 1,558,168 779,084 389,542 194,771 584,314 292,157 876,472 438,236 219,118 109,559 328,678 164,339 493,018 246,509 739,528 369,764 184,882 92,441 277,324 138,662 69,331 207,994 103,997 311,992 155,996 77,998 38,999 116,998 58,499 175,498 87,749 263,248 131,624 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163

More profiles

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