λ
Ratio Atlas

18,001,055

5 × 37 × 97303
Deficient Odd Composite

18,001,055 factors as 5 × 37 × 97303. Its 8 positive divisors give a proper-divisor sum of 4,184,257, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 5 × 37 × 97303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 22,185,312
Proper Divisor Sum 4,184,257
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #18001033 ← → #18001057

Radix Representation

Decimal 18001055
Binary 1000100101010110010011111 (25 bits)
Octal 0o104526237
Hexadecimal 0x112AC9F

Divisor Catalog (8)

Collatz Trajectory (257 steps to reach 1)

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

18,001,055 54,003,166 27,001,583 81,004,750 40,502,375 121,507,126 60,753,563 182,260,690 91,130,345 273,391,036 136,695,518 68,347,759 205,043,278 102,521,639 307,564,918 153,782,459 461,347,378 230,673,689 692,021,068 346,010,534 173,005,267 519,015,802 259,507,901 778,523,704 389,261,852 194,630,926 97,315,463 291,946,390 145,973,195 437,919,586 218,959,793 656,879,380 328,439,690 164,219,845 492,659,536 246,329,768 123,164,884 61,582,442 30,791,221 92,373,664 46,186,832 23,093,416 11,546,708 5,773,354 2,886,677 8,660,032 4,330,016 2,165,008 1,082,504 541,252 270,626 135,313 405,940 202,970 101,485 304,456 152,228 76,114 38,057 114,172

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