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Atlas › Integer Profiles › Node 13,100,444

13,100,444

22 × 72 × 89 × 751
Abundant Even Composite

13,100,444 factors as 2^2 × 7^2 × 89 × 751. Its 36 positive divisors give a proper-divisor sum of 13,903,876, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 89 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 27,004,320
Proper Divisor Sum 13,903,876
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #13100401 ← → #13100459

Radix Representation

Decimal 13100444
Binary 110001111110010110011100 (24 bits)
Octal 0o61762634
Hexadecimal 0xC7E59C

Divisor Catalog (36)

1 2 4 7 14 28 49 89 98 178 196 356 623 751 1,246 1,502 2,492 3,004 4,361 5,257 8,722 10,514 17,444 21,028 36,799 66,839 73,598 133,678 147,196 267,356 467,873 935,746 1,871,492 3,275,111 6,550,222 13,100,444

Collatz Trajectory (179 steps to reach 1)

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

13,100,444 6,550,222 3,275,111 9,825,334 4,912,667 14,738,002 7,369,001 22,107,004 11,053,502 5,526,751 16,580,254 8,290,127 24,870,382 12,435,191 37,305,574 18,652,787 55,958,362 27,979,181 83,937,544 41,968,772 20,984,386 10,492,193 31,476,580 15,738,290 7,869,145 23,607,436 11,803,718 5,901,859 17,705,578 8,852,789 26,558,368 13,279,184 6,639,592 3,319,796 1,659,898 829,949 2,489,848 1,244,924 622,462 311,231 933,694 466,847 1,400,542 700,271 2,100,814 1,050,407 3,151,222 1,575,611 4,726,834 2,363,417 7,090,252 3,545,126 1,772,563 5,317,690 2,658,845 7,976,536 3,988,268 1,994,134 997,067 2,991,202

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