8,024,375

5⁴ × 37 × 347

8,024,375 factors as 5^4 × 37 × 347. Its 20 positive divisors give a proper-divisor sum of 2,303,569, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 5^4 × 37 × 347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,327,944

Proper Divisor Sum 2,303,569

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8024371 ← → #8024383

Radix Representation

Decimal	8024375
Binary	11110100111000100110111 (23 bits)
Octal	0o36470467
Hexadecimal	0x7A7137

Divisor Catalog (20)

Collatz Trajectory (186 steps to reach 1)

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

8,024,375 24,073,126 12,036,563 36,109,690 18,054,845 54,164,536 27,082,268 13,541,134 6,770,567 20,311,702 10,155,851 30,467,554 15,233,777 45,701,332 22,850,666 11,425,333 34,276,000 17,138,000 8,569,000 4,284,500 2,142,250 1,071,125 3,213,376 1,606,688 803,344 401,672 200,836 100,418 50,209 150,628 75,314 37,657 112,972 56,486 28,243 84,730 42,365 127,096 63,548 31,774 15,887 47,662 23,831 71,494 35,747 107,242 53,621 160,864 80,432 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414

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