λ
Ratio Atlas

80,353,193

80353193
Deficient Odd Prime

80,353,193 factors as 80353193. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 80353193
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 80,353,194
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #80353181 ← → #80353201

Radix Representation

Decimal 80353193
Binary 100110010100001011110101001 (27 bits)
Octal 0o462413651
Hexadecimal 0x4CA17A9

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

80,353,193 241,059,580 120,529,790 60,264,895 180,794,686 90,397,343 271,192,030 135,596,015 406,788,046 203,394,023 610,182,070 305,091,035 915,273,106 457,636,553 1,372,909,660 686,454,830 343,227,415 1,029,682,246 514,841,123 1,544,523,370 772,261,685 2,316,785,056 1,158,392,528 579,196,264 289,598,132 144,799,066 72,399,533 217,198,600 108,599,300 54,299,650 27,149,825 81,449,476 40,724,738 20,362,369 61,087,108 30,543,554 15,271,777 45,815,332 22,907,666 11,453,833 34,361,500 17,180,750 8,590,375 25,771,126 12,885,563 38,656,690 19,328,345 57,985,036 28,992,518 14,496,259 43,488,778 21,744,389 65,233,168 32,616,584 16,308,292 8,154,146 4,077,073 12,231,220 6,115,610 3,057,805

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