7,250,125

5³ × 31 × 1871

7,250,125 is odd and not a perfect square. Its factorization is 5^3 × 31 × 1871 and its 16 divisors sum to 9,345,024.

Prime Factor Structure

Factorization String 5^3 × 31 × 1871

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,345,024

Proper Divisor Sum 2,094,899

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7250123 ← → #7250161

Radix Representation

Decimal	7250125
Binary	11011101010000011001101 (23 bits)
Octal	0o33520315
Hexadecimal	0x6EA0CD

Divisor Catalog (16)

1 5 25 31 125 155 775 1,871 3,875 9,355 46,775 58,001 233,875 290,005 1,450,025 7,250,125

Collatz Trajectory (204 steps to reach 1)

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

7,250,125 21,750,376 10,875,188 5,437,594 2,718,797 8,156,392 4,078,196 2,039,098 1,019,549 3,058,648 1,529,324 764,662 382,331 1,146,994 573,497 1,720,492 860,246 430,123 1,290,370 645,185 1,935,556 967,778 483,889 1,451,668 725,834 362,917 1,088,752 544,376 272,188 136,094 68,047 204,142 102,071 306,214 153,107 459,322 229,661 688,984 344,492 172,246 86,123 258,370 129,185 387,556 193,778 96,889 290,668 145,334 72,667 218,002 109,001 327,004 163,502 81,751 245,254 122,627 367,882 183,941 551,824 275,912

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