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5,778,325

52 × 72 × 53 × 89
Deficient Odd Composite

5,778,325 factors as 5^2 × 7^2 × 53 × 89. Its 36 positive divisors give a proper-divisor sum of 2,809,295, so this integer is deficient. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 53 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,587,620
Proper Divisor Sum 2,809,295
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5778319 ← → #5778329

Radix Representation

Decimal 5778325
Binary 10110000010101110010101 (23 bits)
Octal 0o26025625
Hexadecimal 0x582B95

Divisor Catalog (36)

1 5 7 25 35 49 53 89 175 245 265 371 445 623 1,225 1,325 1,855 2,225 2,597 3,115 4,361 4,717 9,275 12,985 15,575 21,805 23,585 33,019 64,925 109,025 117,925 165,095 231,133 825,475 1,155,665 5,778,325

Collatz Trajectory (51 steps to reach 1)

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

5,778,325 17,334,976 8,667,488 4,333,744 2,166,872 1,083,436 541,718 270,859 812,578 406,289 1,218,868 609,434 304,717 914,152 457,076 228,538 114,269 342,808 171,404 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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