27,385,538

2 × 17 × 293 × 2749

27,385,538 factors as 2 × 17 × 293 × 2749. Its 16 positive divisors give a proper-divisor sum of 16,273,462, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2 × 17 × 293 × 2749

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 43,659,000

Proper Divisor Sum 16,273,462

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #27385451 ← → #27385543

Radix Representation

Decimal	27385538
Binary	1101000011101111011000010 (25 bits)
Octal	0o150357302
Hexadecimal	0x1A1DEC2

Divisor Catalog (16)

1 2 17 34 293 586 2,749 4,981 5,498 9,962 46,733 93,466 805,457 1,610,914 13,692,769 27,385,538

Collatz Trajectory (268 steps to reach 1)

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

27,385,538 13,692,769 41,078,308 20,539,154 10,269,577 30,808,732 15,404,366 7,702,183 23,106,550 11,553,275 34,659,826 17,329,913 51,989,740 25,994,870 12,997,435 38,992,306 19,496,153 58,488,460 29,244,230 14,622,115 43,866,346 21,933,173 65,799,520 32,899,760 16,449,880 8,224,940 4,112,470 2,056,235 6,168,706 3,084,353 9,253,060 4,626,530 2,313,265 6,939,796 3,469,898 1,734,949 5,204,848 2,602,424 1,301,212 650,606 325,303 975,910 487,955 1,463,866 731,933 2,195,800 1,097,900 548,950 274,475 823,426 411,713 1,235,140 617,570 308,785 926,356 463,178 231,589 694,768 347,384 173,692

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