26,323,344

2⁴ × 3² × 17 × 10753

26,323,344 factors as 2^4 × 3^2 × 17 × 10753. Its 60 positive divisors give a proper-divisor sum of 51,686,172, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17 × 10753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 78,009,516

Proper Divisor Sum 51,686,172

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #26323343 ← → #26323357

Radix Representation

Decimal	26323344
Binary	1100100011010100110010000 (25 bits)
Octal	0o144324620
Hexadecimal	0x191A990

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1,224 2,448 10,753 21,506 32,259 43,012 64,518 86,024 96,777 129,036 172,048 182,801 193,554 258,072 365,602 387,108 516,144 548,403 731,204 774,216 1,096,806 1,462,408 1,548,432 1,645,209 2,193,612 2,924,816 3,290,418 4,387,224 6,580,836 8,774,448 13,161,672 26,323,344

Collatz Trajectory (92 steps to reach 1)

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

26,323,344 13,161,672 6,580,836 3,290,418 1,645,209 4,935,628 2,467,814 1,233,907 3,701,722 1,850,861 5,552,584 2,776,292 1,388,146 694,073 2,082,220 1,041,110 520,555 1,561,666 780,833 2,342,500 1,171,250 585,625 1,756,876 878,438 439,219 1,317,658 658,829 1,976,488 988,244 494,122 247,061 741,184 370,592 185,296 92,648 46,324 23,162 11,581 34,744 17,372 8,686 4,343 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642

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