λ
Integer Codex

6,040,896

26 × 3 × 73 × 431
Abundant Even Composite

For 6,040,896, the 56 positive divisors have a total of 16,239,744. Removing 6,040,896 leaves 10,198,848, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3 × 73 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 16,239,744
Proper Divisor Sum 10,198,848
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6040843 ← → #6040897

Radix Representation

Decimal 6040896
Binary 10111000010110101000000 (23 bits)
Octal 0o27026500
Hexadecimal 0x5C2D40

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 431 438 584 862 876 1,168 1,293 1,724 1,752 2,336 2,586 3,448 3,504 4,672 5,172 6,896 7,008 10,344 13,792 14,016 20,688 27,584 31,463 41,376 62,926 82,752 94,389 125,852 188,778 251,704 377,556 503,408 755,112 1,006,816 1,510,224 2,013,632 3,020,448 6,040,896

Collatz Trajectory (59 steps to reach 1)

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

6,040,896 3,020,448 1,510,224 755,112 377,556 188,778 94,389 283,168 141,584 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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