5,343,325

5² × 13 × 41 × 401

5,343,325 has the prime decomposition 5^2 × 13 × 41 × 401. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 41 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,327,656

Proper Divisor Sum 1,984,331

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5343311 ← → #5343341

Radix Representation

Decimal	5343325
Binary	10100011000100001011101 (23 bits)
Octal	0o24304135
Hexadecimal	0x51885D

Divisor Catalog (24)

1 5 13 25 41 65 205 325 401 533 1,025 2,005 2,665 5,213 10,025 13,325 16,441 26,065 82,205 130,325 213,733 411,025 1,068,665 5,343,325

Collatz Trajectory (95 steps to reach 1)

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

5,343,325 16,029,976 8,014,988 4,007,494 2,003,747 6,011,242 3,005,621 9,016,864 4,508,432 2,254,216 1,127,108 563,554 281,777 845,332 422,666 211,333 634,000 317,000 158,500 79,250 39,625 118,876 59,438 29,719 89,158 44,579 133,738 66,869 200,608 100,304 50,152 25,076 12,538 6,269 18,808 9,404 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157

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