26,312,850

2 × 3⁴ × 5² × 73 × 89

26,312,850 factors as 2 × 3^4 × 5^2 × 73 × 89. Its 120 positive divisors give a proper-divisor sum of 48,632,130, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5^2 × 73 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 74,944,980

Proper Divisor Sum 48,632,130

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #26312849 ← → #26312911

Radix Representation

Decimal	26312850
Binary	1100100011000000010010010 (25 bits)
Octal	0o144300222
Hexadecimal	0x1918092

Divisor Catalog (60 of 120)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 73 75 81 89 90 135 146 150 162 178 219 225 267 270 365 405 438 445 450 534 657 675 730 801 810 890 1,095 1,314 1,335 1,350 1,602 1,825 1,971 2,025 2,190 2,225 2,403 2,670 3,285 3,650 3,942 4,005 4,050 4,450 4,806

Collatz Trajectory (149 steps to reach 1)

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

26,312,850 13,156,425 39,469,276 19,734,638 9,867,319 29,601,958 14,800,979 44,402,938 22,201,469 66,604,408 33,302,204 16,651,102 8,325,551 24,976,654 12,488,327 37,464,982 18,732,491 56,197,474 28,098,737 84,296,212 42,148,106 21,074,053 63,222,160 31,611,080 15,805,540 7,902,770 3,951,385 11,854,156 5,927,078 2,963,539 8,890,618 4,445,309 13,335,928 6,667,964 3,333,982 1,666,991 5,000,974 2,500,487 7,501,462 3,750,731 11,252,194 5,626,097 16,878,292 8,439,146 4,219,573 12,658,720 6,329,360 3,164,680 1,582,340 791,170 395,585 1,186,756 593,378 296,689 890,068 445,034 222,517 667,552 333,776 166,888

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