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13,086,396

22 × 32 × 17 × 21383
Abundant Even Composite

13,086,396 factors as 2^2 × 3^2 × 17 × 21383. Its 36 positive divisors give a proper-divisor sum of 21,940,596, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 21383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 35,026,992
Proper Divisor Sum 21,940,596
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #13086347 ← → #13086397

Radix Representation

Decimal 13086396
Binary 110001111010111010111100 (24 bits)
Octal 0o61727274
Hexadecimal 0xC7AEBC

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 21,383 42,766 64,149 85,532 128,298 192,447 256,596 363,511 384,894 727,022 769,788 1,090,533 1,454,044 2,181,066 3,271,599 4,362,132 6,543,198 13,086,396

Collatz Trajectory (148 steps to reach 1)

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

13,086,396 6,543,198 3,271,599 9,814,798 4,907,399 14,722,198 7,361,099 22,083,298 11,041,649 33,124,948 16,562,474 8,281,237 24,843,712 12,421,856 6,210,928 3,105,464 1,552,732 776,366 388,183 1,164,550 582,275 1,746,826 873,413 2,620,240 1,310,120 655,060 327,530 163,765 491,296 245,648 122,824 61,412 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015

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