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23,632,532

22 × 7 × 11 × 2772
Abundant Even Composite

23,632,532 factors as 2^2 × 7 × 11 × 277^2. Its 36 positive divisors give a proper-divisor sum of 28,116,172, so this integer is abundant. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 277^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 51,748,704
Proper Divisor Sum 28,116,172
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #23632517 ← → #23632537

Radix Representation

Decimal 23632532
Binary 1011010001001101010010100 (25 bits)
Octal 0o132115224
Hexadecimal 0x1689A94

Divisor Catalog (36)

1 2 4 7 11 14 22 28 44 77 154 277 308 554 1,108 1,939 3,047 3,878 6,094 7,756 12,188 21,329 42,658 76,729 85,316 153,458 306,916 537,103 844,019 1,074,206 1,688,038 2,148,412 3,376,076 5,908,133 11,816,266 23,632,532

Collatz Trajectory (260 steps to reach 1)

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

23,632,532 11,816,266 5,908,133 17,724,400 8,862,200 4,431,100 2,215,550 1,107,775 3,323,326 1,661,663 4,984,990 2,492,495 7,477,486 3,738,743 11,216,230 5,608,115 16,824,346 8,412,173 25,236,520 12,618,260 6,309,130 3,154,565 9,463,696 4,731,848 2,365,924 1,182,962 591,481 1,774,444 887,222 443,611 1,330,834 665,417 1,996,252 998,126 499,063 1,497,190 748,595 2,245,786 1,122,893 3,368,680 1,684,340 842,170 421,085 1,263,256 631,628 315,814 157,907 473,722 236,861 710,584 355,292 177,646 88,823 266,470 133,235 399,706 199,853 599,560 299,780 149,890

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