λ
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Atlas › Integer Profiles › Node 26,236,192

26,236,192

25 × 23 × 43 × 829
Abundant Even Composite

26,236,192 factors as 2^5 × 23 × 43 × 829. Its 48 positive divisors give a proper-divisor sum of 28,982,048, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 43 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 55,218,240
Proper Divisor Sum 28,982,048
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26236183 ← → #26236211

Radix Representation

Decimal 26236192
Binary 1100100000101010100100000 (25 bits)
Octal 0o144052440
Hexadecimal 0x1905520

Divisor Catalog (48)

1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 736 829 989 1,376 1,658 1,978 3,316 3,956 6,632 7,912 13,264 15,824 19,067 26,528 31,648 35,647 38,134 71,294 76,268 142,588 152,536 285,176 305,072 570,352 610,144 819,881 1,140,704 1,639,762 3,279,524 6,559,048 13,118,096 26,236,192

Collatz Trajectory (211 steps to reach 1)

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

26,236,192 13,118,096 6,559,048 3,279,524 1,639,762 819,881 2,459,644 1,229,822 614,911 1,844,734 922,367 2,767,102 1,383,551 4,150,654 2,075,327 6,225,982 3,112,991 9,338,974 4,669,487 14,008,462 7,004,231 21,012,694 10,506,347 31,519,042 15,759,521 47,278,564 23,639,282 11,819,641 35,458,924 17,729,462 8,864,731 26,594,194 13,297,097 39,891,292 19,945,646 9,972,823 29,918,470 14,959,235 44,877,706 22,438,853 67,316,560 33,658,280 16,829,140 8,414,570 4,207,285 12,621,856 6,310,928 3,155,464 1,577,732 788,866 394,433 1,183,300 591,650 295,825 887,476 443,738 221,869 665,608 332,804 166,402

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