λ
Ratio Atlas

81,003,401

23 × 59 × 59693
Deficient Odd Composite

81,003,401 factors as 23 × 59 × 59693. Its 8 positive divisors give a proper-divisor sum of 4,955,959, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 23 × 59 × 59693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 85,959,360
Proper Divisor Sum 4,955,959
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #81003383 ← → #81003421

Radix Representation

Decimal 81003401
Binary 100110101000000001110001001 (27 bits)
Octal 0o465001611
Hexadecimal 0x4D40389

Divisor Catalog (8)

Collatz Trajectory (254 steps to reach 1)

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

81,003,401 243,010,204 121,505,102 60,752,551 182,257,654 91,128,827 273,386,482 136,693,241 410,079,724 205,039,862 102,519,931 307,559,794 153,779,897 461,339,692 230,669,846 115,334,923 346,004,770 173,002,385 519,007,156 259,503,578 129,751,789 389,255,368 194,627,684 97,313,842 48,656,921 145,970,764 72,985,382 36,492,691 109,478,074 54,739,037 164,217,112 82,108,556 41,054,278 20,527,139 61,581,418 30,790,709 92,372,128 46,186,064 23,093,032 11,546,516 5,773,258 2,886,629 8,659,888 4,329,944 2,164,972 1,082,486 541,243 1,623,730 811,865 2,435,596 1,217,798 608,899 1,826,698 913,349 2,740,048 1,370,024 685,012 342,506 171,253 513,760

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