λ
Integer Codex

2,125,448

23 × 13 × 107 × 191
Abundant Even Composite

For 2,125,448, the 32 positive divisors have a total of 4,354,560. Removing 2,125,448 leaves 2,229,112, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 13 × 107 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,354,560
Proper Divisor Sum 2,229,112
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2125429 ← → #2125451

Radix Representation

Decimal 2125448
Binary 1000000110111010001000 (22 bits)
Octal 0o10067210
Hexadecimal 0x206E88

Divisor Catalog (32)

1 2 4 8 13 26 52 104 107 191 214 382 428 764 856 1,391 1,528 2,483 2,782 4,966 5,564 9,932 11,128 19,864 20,437 40,874 81,748 163,496 265,681 531,362 1,062,724 2,125,448

Collatz Trajectory (47 steps to reach 1)

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

2,125,448 1,062,724 531,362 265,681 797,044 398,522 199,261 597,784 298,892 149,446 74,723 224,170 112,085 336,256 168,128 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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