8,048,125

5⁴ × 79 × 163

8,048,125 has the prime decomposition 5^4 × 79 × 163. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 5^4 × 79 × 163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,246,720

Proper Divisor Sum 2,198,595

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8048119 ← → #8048141

Radix Representation

Decimal	8048125
Binary	11110101100110111111101 (23 bits)
Octal	0o36546775
Hexadecimal	0x7ACDFD

Divisor Catalog (20)

1 5 25 79 125 163 395 625 815 1,975 4,075 9,875 12,877 20,375 49,375 64,385 101,875 321,925 1,609,625 8,048,125

Collatz Trajectory (142 steps to reach 1)

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

8,048,125 24,144,376 12,072,188 6,036,094 3,018,047 9,054,142 4,527,071 13,581,214 6,790,607 20,371,822 10,185,911 30,557,734 15,278,867 45,836,602 22,918,301 68,754,904 34,377,452 17,188,726 8,594,363 25,783,090 12,891,545 38,674,636 19,337,318 9,668,659 29,005,978 14,502,989 43,508,968 21,754,484 10,877,242 5,438,621 16,315,864 8,157,932 4,078,966 2,039,483 6,118,450 3,059,225 9,177,676 4,588,838 2,294,419 6,883,258 3,441,629 10,324,888 5,162,444 2,581,222 1,290,611 3,871,834 1,935,917 5,807,752 2,903,876 1,451,938 725,969 2,177,908 1,088,954 544,477 1,633,432 816,716 408,358 204,179 612,538 306,269

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