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27,722,752

210 × 27073
Deficient Even Composite

27,722,752 factors as 2^10 × 27073. Its 22 positive divisors give a proper-divisor sum of 27,697,726, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^10 × 27073
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 22
Divisor Sum (σ) 55,420,478
Proper Divisor Sum 27,697,726
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #27722741 ← → #27722789

Radix Representation

Decimal 27722752
Binary 1101001110000010000000000 (25 bits)
Octal 0o151602000
Hexadecimal 0x1A70400

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 27,073 54,146 108,292 216,584 433,168 866,336 1,732,672 3,465,344 6,930,688 13,861,376 27,722,752

Collatz Trajectory (149 steps to reach 1)

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

27,722,752 13,861,376 6,930,688 3,465,344 1,732,672 866,336 433,168 216,584 108,292 54,146 27,073 81,220 40,610 20,305 60,916 30,458 15,229 45,688 22,844 11,422 5,711 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 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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