7,317,025

5² × 541²

7,317,025 has the prime decomposition 5^2 × 541^2. Its 2 distinct prime factors produce 9 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 541^2

Distinct Prime Factors 2

Square Status Yes (√7317025 = 2705)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 9,089,913

Proper Divisor Sum 1,772,888

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7316977 ← → #7317029

Radix Representation

Decimal	7317025
Binary	11011111010011000100001 (23 bits)
Octal	0o33723041
Hexadecimal	0x6FA621

Divisor Catalog (9)

1 5 25 541 2,705 13,525 292,681 1,463,405 7,317,025

Collatz Trajectory (142 steps to reach 1)

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

7,317,025 21,951,076 10,975,538 5,487,769 16,463,308 8,231,654 4,115,827 12,347,482 6,173,741 18,521,224 9,260,612 4,630,306 2,315,153 6,945,460 3,472,730 1,736,365 5,209,096 2,604,548 1,302,274 651,137 1,953,412 976,706 488,353 1,465,060 732,530 366,265 1,098,796 549,398 274,699 824,098 412,049 1,236,148 618,074 309,037 927,112 463,556 231,778 115,889 347,668 173,834 86,917 260,752 130,376 65,188 32,594 16,297 48,892 24,446 12,223 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476

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