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9,720,522

2 × 32 × 72 × 103 × 107
Abundant Even Composite

9,720,522 factors as 2 × 3^2 × 7^2 × 103 × 107. Its 72 positive divisors give a proper-divisor sum of 15,248,214, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 103 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,968,736
Proper Divisor Sum 15,248,214
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9720521 ← → #9720523

Radix Representation

Decimal 9720522
Binary 100101000101001011001010 (24 bits)
Octal 0o45051312
Hexadecimal 0x9452CA

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 18 21 42 49 63 98 103 107 126 147 206 214 294 309 321 441 618 642 721 749 882 927 963 1,442 1,498 1,854 1,926 2,163 2,247 4,326 4,494 5,047 5,243 6,489 6,741 10,094 10,486 11,021 12,978 13,482 15,141 15,729 22,042 30,282 31,458 33,063 45,423 47,187 66,126 77,147 90,846 94,374 99,189

Collatz Trajectory (114 steps to reach 1)

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

9,720,522 4,860,261 14,580,784 7,290,392 3,645,196 1,822,598 911,299 2,733,898 1,366,949 4,100,848 2,050,424 1,025,212 512,606 256,303 768,910 384,455 1,153,366 576,683 1,730,050 865,025 2,595,076 1,297,538 648,769 1,946,308 973,154 486,577 1,459,732 729,866 364,933 1,094,800 547,400 273,700 136,850 68,425 205,276 102,638 51,319 153,958 76,979 230,938 115,469 346,408 173,204 86,602 43,301 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277

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