2,591,988

2² × 3 × 7 × 59 × 523

For 2,591,988, the 48 positive divisors have a total of 7,042,560. Removing 2,591,988 leaves 4,450,572, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 59 × 523

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,042,560

Proper Divisor Sum 4,450,572

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2591987 ← → #2592043

Radix Representation

Decimal	2591988
Binary	1001111000110011110100 (22 bits)
Octal	0o11706364
Hexadecimal	0x278CF4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 523 708 826 1,046 1,239 1,569 1,652 2,092 2,478 3,138 3,661 4,956 6,276 7,322 10,983 14,644 21,966 30,857 43,932 61,714 92,571 123,428 185,142 215,999 370,284 431,998 647,997 863,996 1,295,994 2,591,988

Collatz Trajectory (94 steps to reach 1)

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

2,591,988 1,295,994 647,997 1,943,992 971,996 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031 615,094 307,547 922,642 461,321 1,383,964 691,982 345,991 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722 583,861 1,751,584 875,792 437,896 218,948 109,474 54,737 164,212 82,106 41,053 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458

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