λ
Sigma Notebook

2,275,760

24 × 5 × 28447
Abundant Even Composite

2,275,760 is even and not a perfect square. Its factorization is 2^4 × 5 × 28447 and its 20 divisors sum to 5,291,328.

Prime Factor Structure

Factorization String 2^4 × 5 × 28447
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,291,328
Proper Divisor Sum 3,015,568
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2275747 ← → #2275769

Radix Representation

Decimal 2275760
Binary 1000101011100110110000 (22 bits)
Octal 0o10534660
Hexadecimal 0x22B9B0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 28,447 56,894 113,788 142,235 227,576 284,470 455,152 568,940 1,137,880 2,275,760

Collatz Trajectory (104 steps to reach 1)

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

2,275,760 1,137,880 568,940 284,470 142,235 426,706 213,353 640,060 320,030 160,015 480,046 240,023 720,070 360,035 1,080,106 540,053 1,620,160 810,080 405,040 202,520 101,260 50,630 25,315 75,946 37,973 113,920 56,960 28,480 14,240 7,120 3,560 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

More profiles

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