λ
Ratio Atlas

81,841,363

81841363
Deficient Odd Prime

81,841,363 factors as 81841363. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 81841363
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 81,841,364
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #81841351 ← → #81841387

Radix Representation

Decimal 81841363
Binary 100111000001100110011010011 (27 bits)
Octal 0o470146323
Hexadecimal 0x4E0CCD3

Divisor Catalog (2)

Collatz Trajectory (223 steps to reach 1)

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

81,841,363 245,524,090 122,762,045 368,286,136 184,143,068 92,071,534 46,035,767 138,107,302 69,053,651 207,160,954 103,580,477 310,741,432 155,370,716 77,685,358 38,842,679 116,528,038 58,264,019 174,792,058 87,396,029 262,188,088 131,094,044 65,547,022 32,773,511 98,320,534 49,160,267 147,480,802 73,740,401 221,221,204 110,610,602 55,305,301 165,915,904 82,957,952 41,478,976 20,739,488 10,369,744 5,184,872 2,592,436 1,296,218 648,109 1,944,328 972,164 486,082 243,041 729,124 364,562 182,281 546,844 273,422 136,711 410,134 205,067 615,202 307,601 922,804 461,402 230,701 692,104 346,052 173,026 86,513

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