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27,718,240

25 × 5 × 11 × 15749
Abundant Even Composite

27,718,240 factors as 2^5 × 5 × 11 × 15749. Its 48 positive divisors give a proper-divisor sum of 43,723,760, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 15749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,442,000
Proper Divisor Sum 43,723,760
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #27718237 ← → #27718267

Radix Representation

Decimal 27718240
Binary 1101001101111001001100000 (25 bits)
Octal 0o151571140
Hexadecimal 0x1A6F260

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1,760 15,749 31,498 62,996 78,745 125,992 157,490 173,239 251,984 314,980 346,478 503,968 629,960 692,956 866,195 1,259,920 1,385,912 1,732,390 2,519,840 2,771,824 3,464,780 5,543,648 6,929,560 13,859,120 27,718,240

Collatz Trajectory (149 steps to reach 1)

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

27,718,240 13,859,120 6,929,560 3,464,780 1,732,390 866,195 2,598,586 1,299,293 3,897,880 1,948,940 974,470 487,235 1,461,706 730,853 2,192,560 1,096,280 548,140 274,070 137,035 411,106 205,553 616,660 308,330 154,165 462,496 231,248 115,624 57,812 28,906 14,453 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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