λ
Sigma Notebook

2,655,580

22 × 5 × 232 × 251
Abundant Even Composite

2,655,580 is even and not a perfect square. Its factorization is 2^2 × 5 × 23^2 × 251 and its 36 divisors sum to 5,852,952.

Prime Factor Structure

Factorization String 2^2 × 5 × 23^2 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,852,952
Proper Divisor Sum 3,197,372
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2655577 ← → #2655607

Radix Representation

Decimal 2655580
Binary 1010001000010101011100 (22 bits)
Octal 0o12102534
Hexadecimal 0x28855C

Divisor Catalog (36)

1 2 4 5 10 20 23 46 92 115 230 251 460 502 529 1,004 1,058 1,255 2,116 2,510 2,645 5,020 5,290 5,773 10,580 11,546 23,092 28,865 57,730 115,460 132,779 265,558 531,116 663,895 1,327,790 2,655,580

Collatz Trajectory (94 steps to reach 1)

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

2,655,580 1,327,790 663,895 1,991,686 995,843 2,987,530 1,493,765 4,481,296 2,240,648 1,120,324 560,162 280,081 840,244 420,122 210,061 630,184 315,092 157,546 78,773 236,320 118,160 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

More profiles

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