27,647,228

2² × 7 × 491 × 2011

27,647,228 factors as 2^2 × 7 × 491 × 2011. Its 24 positive divisors give a proper-divisor sum of 27,787,396, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 491 × 2011

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 55,434,624

Proper Divisor Sum 27,787,396

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #27647203 ← → #27647267

Radix Representation

Decimal	27647228
Binary	1101001011101110011111100 (25 bits)
Octal	0o151356374
Hexadecimal	0x1A5DCFC

Divisor Catalog (24)

Collatz Trajectory (185 steps to reach 1)

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

27,647,228 13,823,614 6,911,807 20,735,422 10,367,711 31,103,134 15,551,567 46,654,702 23,327,351 69,982,054 34,991,027 104,973,082 52,486,541 157,459,624 78,729,812 39,364,906 19,682,453 59,047,360 29,523,680 14,761,840 7,380,920 3,690,460 1,845,230 922,615 2,767,846 1,383,923 4,151,770 2,075,885 6,227,656 3,113,828 1,556,914 778,457 2,335,372 1,167,686 583,843 1,751,530 875,765 2,627,296 1,313,648 656,824 328,412 164,206 82,103 246,310 123,155 369,466 184,733 554,200 277,100 138,550 69,275 207,826 103,913 311,740 155,870 77,935 233,806 116,903 350,710 175,355

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