26,782,848

2⁷ × 3² × 67 × 347

26,782,848 factors as 2^7 × 3^2 × 67 × 347. Its 96 positive divisors give a proper-divisor sum of 51,663,312, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 67 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 78,446,160

Proper Divisor Sum 51,663,312

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #26782831 ← → #26782883

Radix Representation

Decimal	26782848
Binary	1100110001010110010000000 (25 bits)
Octal	0o146126200
Hexadecimal	0x198AC80

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 347 384 402 536 576 603 694 804 1,041 1,072 1,152 1,206 1,388 1,608 2,082 2,144 2,412 2,776 3,123 3,216 4,164 4,288 4,824 5,552 6,246 6,432 8,328 8,576 9,648 11,104 12,492 12,864 16,656 19,296 22,208

Collatz Trajectory (141 steps to reach 1)

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

26,782,848 13,391,424 6,695,712 3,347,856 1,673,928 836,964 418,482 209,241 627,724 313,862 156,931 470,794 235,397 706,192 353,096 176,548 88,274 44,137 132,412 66,206 33,103 99,310 49,655 148,966 74,483 223,450 111,725 335,176 167,588 83,794 41,897 125,692 62,846 31,423 94,270 47,135 141,406 70,703 212,110 106,055 318,166 159,083 477,250 238,625 715,876 357,938 178,969 536,908 268,454 134,227 402,682 201,341 604,024 302,012 151,006 75,503 226,510 113,255 339,766 169,883

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