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Atlas › Integer Profiles › Node 12,965,634

12,965,634

2 × 32 × 112 × 5953
Abundant Even Composite

12,965,634 factors as 2 × 3^2 × 11^2 × 5953. Its 36 positive divisors give a proper-divisor sum of 17,917,764, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11^2 × 5953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 30,883,398
Proper Divisor Sum 17,917,764
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12965633 ← → #12965671

Radix Representation

Decimal 12965634
Binary 110001011101011100000010 (24 bits)
Octal 0o61353402
Hexadecimal 0xC5D702

Divisor Catalog (36)

1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1,089 2,178 5,953 11,906 17,859 35,718 53,577 65,483 107,154 130,966 196,449 392,898 589,347 720,313 1,178,694 1,440,626 2,160,939 4,321,878 6,482,817 12,965,634

Collatz Trajectory (210 steps to reach 1)

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

12,965,634 6,482,817 19,448,452 9,724,226 4,862,113 14,586,340 7,293,170 3,646,585 10,939,756 5,469,878 2,734,939 8,204,818 4,102,409 12,307,228 6,153,614 3,076,807 9,230,422 4,615,211 13,845,634 6,922,817 20,768,452 10,384,226 5,192,113 15,576,340 7,788,170 3,894,085 11,682,256 5,841,128 2,920,564 1,460,282 730,141 2,190,424 1,095,212 547,606 273,803 821,410 410,705 1,232,116 616,058 308,029 924,088 462,044 231,022 115,511 346,534 173,267 519,802 259,901 779,704 389,852 194,926 97,463 292,390 146,195 438,586 219,293 657,880 328,940 164,470 82,235

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