λ
Ratio Atlas

32,271,017

32271017
Deficient Odd Prime

32,271,017 factors as 32271017. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 32271017
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 32,271,018
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #32271007 ← → #32271061

Radix Representation

Decimal 32271017
Binary 1111011000110101010101001 (25 bits)
Octal 0o173065251
Hexadecimal 0x1EC6AA9

Divisor Catalog (2)

Collatz Trajectory (201 steps to reach 1)

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

32,271,017 96,813,052 48,406,526 24,203,263 72,609,790 36,304,895 108,914,686 54,457,343 163,372,030 81,686,015 245,058,046 122,529,023 367,587,070 183,793,535 551,380,606 275,690,303 827,070,910 413,535,455 1,240,606,366 620,303,183 1,860,909,550 930,454,775 2,791,364,326 1,395,682,163 4,187,046,490 2,093,523,245 6,280,569,736 3,140,284,868 1,570,142,434 785,071,217 2,355,213,652 1,177,606,826 588,803,413 1,766,410,240 883,205,120 441,602,560 220,801,280 110,400,640 55,200,320 27,600,160 13,800,080 6,900,040 3,450,020 1,725,010 862,505 2,587,516 1,293,758 646,879 1,940,638 970,319 2,910,958 1,455,479 4,366,438 2,183,219 6,549,658 3,274,829 9,824,488 4,912,244 2,456,122 1,228,061

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