18,542,765

5 × 19² × 10273

18,542,765 factors as 5 × 19^2 × 10273. Its 12 positive divisors give a proper-divisor sum of 4,943,599, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 5 × 19^2 × 10273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,486,364

Proper Divisor Sum 4,943,599

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #18542759 ← → #18542773

Radix Representation

Decimal	18542765
Binary	1000110101111000010101101 (25 bits)
Octal	0o106570255
Hexadecimal	0x11AF0AD

Divisor Catalog (12)

1 5 19 95 361 1,805 10,273 51,365 195,187 975,935 3,708,553 18,542,765

Collatz Trajectory (195 steps to reach 1)

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

18,542,765 55,628,296 27,814,148 13,907,074 6,953,537 20,860,612 10,430,306 5,215,153 15,645,460 7,822,730 3,911,365 11,734,096 5,867,048 2,933,524 1,466,762 733,381 2,200,144 1,100,072 550,036 275,018 137,509 412,528 206,264 103,132 51,566 25,783 77,350 38,675 116,026 58,013 174,040 87,020 43,510 21,755 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604

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