λ
Sigma Notebook

2,648,052

22 × 34 × 11 × 743
Abundant Even Composite

2,648,052 is even and not a perfect square. Its factorization is 2^2 × 3^4 × 11 × 743 and its 60 divisors sum to 7,562,016.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 11 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 7,562,016
Proper Divisor Sum 4,913,964
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2648047 ← → #2648057

Radix Representation

Decimal 2648052
Binary 1010000110011111110100 (22 bits)
Octal 0o12063764
Hexadecimal 0x2867F4

Divisor Catalog (60)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 743 891 1,188 1,486 1,782 2,229 2,972 3,564 4,458 6,687 8,173 8,916 13,374 16,346 20,061 24,519 26,748 32,692 40,122 49,038 60,183 73,557 80,244 98,076 120,366 147,114 220,671 240,732 294,228 441,342 662,013 882,684 1,324,026 2,648,052

Collatz Trajectory (218 steps to reach 1)

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

2,648,052 1,324,026 662,013 1,986,040 993,020 496,510 248,255 744,766 372,383 1,117,150 558,575 1,675,726 837,863 2,513,590 1,256,795 3,770,386 1,885,193 5,655,580 2,827,790 1,413,895 4,241,686 2,120,843 6,362,530 3,181,265 9,543,796 4,771,898 2,385,949 7,157,848 3,578,924 1,789,462 894,731 2,684,194 1,342,097 4,026,292 2,013,146 1,006,573 3,019,720 1,509,860 754,930 377,465 1,132,396 566,198 283,099 849,298 424,649 1,273,948 636,974 318,487 955,462 477,731 1,433,194 716,597 2,149,792 1,074,896 537,448 268,724 134,362 67,181 201,544 100,772

More profiles

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