λ
Ratio Atlas

83,000,263

83000263
Deficient Odd Prime

83,000,263 factors as 83000263. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 83000263
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 83,000,264
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #83000251 ← → #83000293

Radix Representation

Decimal 83000263
Binary 100111100100111101111000111 (27 bits)
Octal 0o474475707
Hexadecimal 0x4F27BC7

Divisor Catalog (2)

Collatz Trajectory (285 steps to reach 1)

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

83,000,263 249,000,790 124,500,395 373,501,186 186,750,593 560,251,780 280,125,890 140,062,945 420,188,836 210,094,418 105,047,209 315,141,628 157,570,814 78,785,407 236,356,222 118,178,111 354,534,334 177,267,167 531,801,502 265,900,751 797,702,254 398,851,127 1,196,553,382 598,276,691 1,794,830,074 897,415,037 2,692,245,112 1,346,122,556 673,061,278 336,530,639 1,009,591,918 504,795,959 1,514,387,878 757,193,939 2,271,581,818 1,135,790,909 3,407,372,728 1,703,686,364 851,843,182 425,921,591 1,277,764,774 638,882,387 1,916,647,162 958,323,581 2,874,970,744 1,437,485,372 718,742,686 359,371,343 1,078,114,030 539,057,015 1,617,171,046 808,585,523 2,425,756,570 1,212,878,285 3,638,634,856 1,819,317,428 909,658,714 454,829,357 1,364,488,072 682,244,036

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