5,088,468

2² × 3 × 7 × 11 × 5507

5,088,468 has digital root 3. The neighboring primes are 5088467 and 5088511; its proper-divisor sum differs from the starting integer by 4,628,568.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 5507

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,805,504

Proper Divisor Sum 9,717,036

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5088467 ← → #5088511

Radix Representation

Decimal	5088468
Binary	10011011010010011010100 (23 bits)
Octal	0o23322324
Hexadecimal	0x4DA4D4

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 5,507 11,014 16,521 22,028 33,042 38,549 60,577 66,084 77,098 115,647 121,154 154,196 181,731 231,294 242,308 363,462 424,039 462,588 726,924 848,078 1,272,117 1,696,156 2,544,234 5,088,468

Collatz Trajectory (82 steps to reach 1)

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

5,088,468 2,544,234 1,272,117 3,816,352 1,908,176 954,088 477,044 238,522 119,261 357,784 178,892 89,446 44,723 134,170 67,085 201,256 100,628 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25

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