27,368,908

2² × 7 × 31 × 31531

27,368,908 factors as 2^2 × 7 × 31 × 31531. Its 24 positive divisors give a proper-divisor sum of 29,136,436, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 31531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 56,505,344

Proper Divisor Sum 29,136,436

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27368903 ← → #27368917

Radix Representation

Decimal	27368908
Binary	1101000011001110111001100 (25 bits)
Octal	0o150316714
Hexadecimal	0x1A19DCC

Divisor Catalog (24)

Collatz Trajectory (242 steps to reach 1)

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

27,368,908 13,684,454 6,842,227 20,526,682 10,263,341 30,790,024 15,395,012 7,697,506 3,848,753 11,546,260 5,773,130 2,886,565 8,659,696 4,329,848 2,164,924 1,082,462 541,231 1,623,694 811,847 2,435,542 1,217,771 3,653,314 1,826,657 5,479,972 2,739,986 1,369,993 4,109,980 2,054,990 1,027,495 3,082,486 1,541,243 4,623,730 2,311,865 6,935,596 3,467,798 1,733,899 5,201,698 2,600,849 7,802,548 3,901,274 1,950,637 5,851,912 2,925,956 1,462,978 731,489 2,194,468 1,097,234 548,617 1,645,852 822,926 411,463 1,234,390 617,195 1,851,586 925,793 2,777,380 1,388,690 694,345 2,083,036 1,041,518

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