λ
Sigma Notebook

2,017,520

24 × 5 × 25219
Abundant Even Composite

2,017,520 is even and not a perfect square. Its factorization is 2^4 × 5 × 25219 and its 20 divisors sum to 4,690,920.

Prime Factor Structure

Factorization String 2^4 × 5 × 25219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,690,920
Proper Divisor Sum 2,673,400
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2017513 ← → #2017529

Radix Representation

Decimal 2017520
Binary 111101100100011110000 (21 bits)
Octal 0o7544360
Hexadecimal 0x1EC8F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 25,219 50,438 100,876 126,095 201,752 252,190 403,504 504,380 1,008,760 2,017,520

Collatz Trajectory (109 steps to reach 1)

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

2,017,520 1,008,760 504,380 252,190 126,095 378,286 189,143 567,430 283,715 851,146 425,573 1,276,720 638,360 319,180 159,590 79,795 239,386 119,693 359,080 179,540 89,770 44,885 134,656 67,328 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 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

More profiles

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