1,817,189

11 × 31 × 73²

1,817,189 factors as 11 × 31 × 73^2. Its 12 positive divisors give a proper-divisor sum of 257,563, so this integer is deficient. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 11 × 31 × 73^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,074,752

Proper Divisor Sum 257,563

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1817177 ← → #1817197

Radix Representation

Decimal	1817189
Binary	110111011101001100101 (21 bits)
Octal	0o6735145
Hexadecimal	0x1BBA65

Divisor Catalog (12)

1 11 31 73 341 803 2,263 5,329 24,893 58,619 165,199 1,817,189

Collatz Trajectory (202 steps to reach 1)

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

1,817,189 5,451,568 2,725,784 1,362,892 681,446 340,723 1,022,170 511,085 1,533,256 766,628 383,314 191,657 574,972 287,486 143,743 431,230 215,615 646,846 323,423 970,270 485,135 1,455,406 727,703 2,183,110 1,091,555 3,274,666 1,637,333 4,912,000 2,456,000 1,228,000 614,000 307,000 153,500 76,750 38,375 115,126 57,563 172,690 86,345 259,036 129,518 64,759 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921

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