2,424,024

2³ × 3² × 131 × 257

For 2,424,024, the 48 positive divisors have a total of 6,640,920. Removing 2,424,024 leaves 4,216,896, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 131 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,640,920

Proper Divisor Sum 4,216,896

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2424017 ← → #2424029

Radix Representation

Decimal	2424024
Binary	1001001111110011011000 (22 bits)
Octal	0o11176330
Hexadecimal	0x24FCD8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 131 257 262 393 514 524 771 786 1,028 1,048 1,179 1,542 1,572 2,056 2,313 2,358 3,084 3,144 4,626 4,716 6,168 9,252 9,432 18,504 33,667 67,334 101,001 134,668 202,002 269,336 303,003 404,004 606,006 808,008 1,212,012 2,424,024

Collatz Trajectory (112 steps to reach 1)

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

2,424,024 1,212,012 606,006 303,003 909,010 454,505 1,363,516 681,758 340,879 1,022,638 511,319 1,533,958 766,979 2,300,938 1,150,469 3,451,408 1,725,704 862,852 431,426 215,713 647,140 323,570 161,785 485,356 242,678 121,339 364,018 182,009 546,028 273,014 136,507 409,522 204,761 614,284 307,142 153,571 460,714 230,357 691,072 345,536 172,768 86,384 43,192 21,596 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564

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