λ
Integer Codex

2,648,020

22 × 5 × 31 × 4271
Abundant Even Composite

For 2,648,020, the 24 positive divisors have a total of 5,741,568. Removing 2,648,020 leaves 3,093,548, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 4271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,741,568
Proper Divisor Sum 3,093,548
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2647999 ← → #2648021

Radix Representation

Decimal 2648020
Binary 1010000110011111010100 (22 bits)
Octal 0o12063724
Hexadecimal 0x2867D4

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 4,271 8,542 17,084 21,355 42,710 85,420 132,401 264,802 529,604 662,005 1,324,010 2,648,020

Collatz Trajectory (187 steps to reach 1)

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

2,648,020 1,324,010 662,005 1,986,016 993,008 496,504 248,252 124,126 62,063 186,190 93,095 279,286 139,643 418,930 209,465 628,396 314,198 157,099 471,298 235,649 706,948 353,474 176,737 530,212 265,106 132,553 397,660 198,830 99,415 298,246 149,123 447,370 223,685 671,056 335,528 167,764 83,882 41,941 125,824 62,912 31,456 15,728 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806

More profiles

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