λ
Integer Codex

2,574,488

23 × 7 × 31 × 1483
Abundant Even Composite

For 2,574,488, the 32 positive divisors have a total of 5,698,560. Removing 2,574,488 leaves 3,124,072, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,698,560
Proper Divisor Sum 3,124,072
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2574487 ← → #2574493

Radix Representation

Decimal 2574488
Binary 1001110100100010011000 (22 bits)
Octal 0o11644230
Hexadecimal 0x274898

Divisor Catalog (32)

1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1,483 1,736 2,966 5,932 10,381 11,864 20,762 41,524 45,973 83,048 91,946 183,892 321,811 367,784 643,622 1,287,244 2,574,488

Collatz Trajectory (249 steps to reach 1)

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

2,574,488 1,287,244 643,622 321,811 965,434 482,717 1,448,152 724,076 362,038 181,019 543,058 271,529 814,588 407,294 203,647 610,942 305,471 916,414 458,207 1,374,622 687,311 2,061,934 1,030,967 3,092,902 1,546,451 4,639,354 2,319,677 6,959,032 3,479,516 1,739,758 869,879 2,609,638 1,304,819 3,914,458 1,957,229 5,871,688 2,935,844 1,467,922 733,961 2,201,884 1,100,942 550,471 1,651,414 825,707 2,477,122 1,238,561 3,715,684 1,857,842 928,921 2,786,764 1,393,382 696,691 2,090,074 1,045,037 3,135,112 1,567,556 783,778 391,889 1,175,668 587,834

More profiles

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