8,300,025

3² × 5² × 37 × 997

8,300,025 factors as 3^2 × 5^2 × 37 × 997. Its 36 positive divisors give a proper-divisor sum of 6,983,347, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 37 × 997

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,283,372

Proper Divisor Sum 6,983,347

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8300009 ← → #8300041

Radix Representation

Decimal	8300025
Binary	11111101010010111111001 (23 bits)
Octal	0o37522771
Hexadecimal	0x7EA5F9

Divisor Catalog (36)

1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 997 1,665 2,775 2,991 4,985 8,325 8,973 14,955 24,925 36,889 44,865 74,775 110,667 184,445 224,325 332,001 553,335 922,225 1,660,005 2,766,675 8,300,025

Collatz Trajectory (137 steps to reach 1)

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

8,300,025 24,900,076 12,450,038 6,225,019 18,675,058 9,337,529 28,012,588 14,006,294 7,003,147 21,009,442 10,504,721 31,514,164 15,757,082 7,878,541 23,635,624 11,817,812 5,908,906 2,954,453 8,863,360 4,431,680 2,215,840 1,107,920 553,960 276,980 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649

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