27,644,164

2² × 19 × 53 × 6863

27,644,164 factors as 2^2 × 19 × 53 × 6863. Its 24 positive divisors give a proper-divisor sum of 24,247,676, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 53 × 6863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 51,891,840

Proper Divisor Sum 24,247,676

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27644161 ← → #27644167

Radix Representation

Decimal	27644164
Binary	1101001011101000100000100 (25 bits)
Octal	0o151350404
Hexadecimal	0x1A5D104

Divisor Catalog (24)

Collatz Trajectory (105 steps to reach 1)

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

27,644,164 13,822,082 6,911,041 20,733,124 10,366,562 5,183,281 15,549,844 7,774,922 3,887,461 11,662,384 5,831,192 2,915,596 1,457,798 728,899 2,186,698 1,093,349 3,280,048 1,640,024 820,012 410,006 205,003 615,010 307,505 922,516 461,258 230,629 691,888 345,944 172,972 86,486 43,243 129,730 64,865 194,596 97,298 48,649 145,948 72,974 36,487 109,462 54,731 164,194 82,097 246,292 123,146 61,573 184,720 92,360 46,180 23,090 11,545 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871

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