27,318,910

2 × 5 × 733 × 3727

27,318,910 factors as 2 × 5 × 733 × 3727. Its 16 positive divisors give a proper-divisor sum of 21,935,426, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 5 × 733 × 3727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 49,254,336

Proper Divisor Sum 21,935,426

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27318901 ← → #27318923

Radix Representation

Decimal	27318910
Binary	1101000001101101001111110 (25 bits)
Octal	0o150155176
Hexadecimal	0x1A0DA7E

Divisor Catalog (16)

1 2 5 10 733 1,466 3,665 3,727 7,330 7,454 18,635 37,270 2,731,891 5,463,782 13,659,455 27,318,910

Collatz Trajectory (224 steps to reach 1)

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

27,318,910 13,659,455 40,978,366 20,489,183 61,467,550 30,733,775 92,201,326 46,100,663 138,301,990 69,150,995 207,452,986 103,726,493 311,179,480 155,589,740 77,794,870 38,897,435 116,692,306 58,346,153 175,038,460 87,519,230 43,759,615 131,278,846 65,639,423 196,918,270 98,459,135 295,377,406 147,688,703 443,066,110 221,533,055 664,599,166 332,299,583 996,898,750 498,449,375 1,495,348,126 747,674,063 2,243,022,190 1,121,511,095 3,364,533,286 1,682,266,643 5,046,799,930 2,523,399,965 7,570,199,896 3,785,099,948 1,892,549,974 946,274,987 2,838,824,962 1,419,412,481 4,258,237,444 2,129,118,722 1,064,559,361 3,193,678,084 1,596,839,042 798,419,521 2,395,258,564 1,197,629,282 598,814,641 1,796,443,924 898,221,962 449,110,981 1,347,332,944

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