27,390,628

2² × 19 × 383 × 941

27,390,628 factors as 2^2 × 19 × 383 × 941. Its 24 positive divisors give a proper-divisor sum of 23,251,292, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 383 × 941

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 50,641,920

Proper Divisor Sum 23,251,292

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #27390611 ← → #27390637

Radix Representation

Decimal	27390628
Binary	1101000011111001010100100 (25 bits)
Octal	0o150371244
Hexadecimal	0x1A1F2A4

Divisor Catalog (24)

Collatz Trajectory (268 steps to reach 1)

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

27,390,628 13,695,314 6,847,657 20,542,972 10,271,486 5,135,743 15,407,230 7,703,615 23,110,846 11,555,423 34,666,270 17,333,135 51,999,406 25,999,703 77,999,110 38,999,555 116,998,666 58,499,333 175,498,000 87,749,000 43,874,500 21,937,250 10,968,625 32,905,876 16,452,938 8,226,469 24,679,408 12,339,704 6,169,852 3,084,926 1,542,463 4,627,390 2,313,695 6,941,086 3,470,543 10,411,630 5,205,815 15,617,446 7,808,723 23,426,170 11,713,085 35,139,256 17,569,628 8,784,814 4,392,407 13,177,222 6,588,611 19,765,834 9,882,917 29,648,752 14,824,376 7,412,188 3,706,094 1,853,047 5,559,142 2,779,571 8,338,714 4,169,357 12,508,072 6,254,036

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