2,018,043

3² × 23 × 9749

2,018,043 factors as 3^2 × 23 × 9749. Its 12 positive divisors give a proper-divisor sum of 1,023,957, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 9749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,042,000

Proper Divisor Sum 1,023,957

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2018041 ← → #2018077

Radix Representation

Decimal	2018043
Binary	111101100101011111011 (21 bits)
Octal	0o7545373
Hexadecimal	0x1ECAFB

Divisor Catalog (12)

1 3 9 23 69 207 9,749 29,247 87,741 224,227 672,681 2,018,043

Collatz Trajectory (228 steps to reach 1)

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

2,018,043 6,054,130 3,027,065 9,081,196 4,540,598 2,270,299 6,810,898 3,405,449 10,216,348 5,108,174 2,554,087 7,662,262 3,831,131 11,493,394 5,746,697 17,240,092 8,620,046 4,310,023 12,930,070 6,465,035 19,395,106 9,697,553 29,092,660 14,546,330 7,273,165 21,819,496 10,909,748 5,454,874 2,727,437 8,182,312 4,091,156 2,045,578 1,022,789 3,068,368 1,534,184 767,092 383,546 191,773 575,320 287,660 143,830 71,915 215,746 107,873 323,620 161,810 80,905 242,716 121,358 60,679 182,038 91,019 273,058 136,529 409,588 204,794 102,397 307,192 153,596 76,798

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