7,209,525

3 × 5² × 97 × 991

7,209,525 has the prime decomposition 3 × 5^2 × 97 × 991. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 97 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,054,784

Proper Divisor Sum 4,845,259

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7209523 ← → #7209533

Radix Representation

Decimal	7209525
Binary	11011100000001000110101 (23 bits)
Octal	0o33401065
Hexadecimal	0x6E0235

Divisor Catalog (24)

1 3 5 15 25 75 97 291 485 991 1,455 2,425 2,973 4,955 7,275 14,865 24,775 74,325 96,127 288,381 480,635 1,441,905 2,403,175 7,209,525

Collatz Trajectory (116 steps to reach 1)

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

7,209,525 21,628,576 10,814,288 5,407,144 2,703,572 1,351,786 675,893 2,027,680 1,013,840 506,920 253,460 126,730 63,365 190,096 95,048 47,524 23,762 11,881 35,644 17,822 8,911 26,734 13,367 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276

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