λ
Integer Codex

2,448,804

22 × 3 × 204067
Abundant Even Composite

For 2,448,804, the 12 positive divisors have a total of 5,713,904. Removing 2,448,804 leaves 3,265,100, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 204067
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,713,904
Proper Divisor Sum 3,265,100
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2448791 ← → #2448821

Radix Representation

Decimal 2448804
Binary 1001010101110110100100 (22 bits)
Octal 0o11256644
Hexadecimal 0x255DA4

Divisor Catalog (12)

1 2 3 4 6 12 204,067 408,134 612,201 816,268 1,224,402 2,448,804

Collatz Trajectory (112 steps to reach 1)

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

2,448,804 1,224,402 612,201 1,836,604 918,302 459,151 1,377,454 688,727 2,066,182 1,033,091 3,099,274 1,549,637 4,648,912 2,324,456 1,162,228 581,114 290,557 871,672 435,836 217,918 108,959 326,878 163,439 490,318 245,159 735,478 367,739 1,103,218 551,609 1,654,828 827,414 413,707 1,241,122 620,561 1,861,684 930,842 465,421 1,396,264 698,132 349,066 174,533 523,600 261,800 130,900 65,450 32,725 98,176 49,088 24,544 12,272 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591

More profiles

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