λ
Sigma Notebook

129,221

129221
Deficient Odd Prime

129,221 is odd and not a perfect square. Its factorization is 129221 and its 2 divisors sum to 129,222.

Prime Factor Structure

Factorization String 129221
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 129,222
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #129209 ← → #129223

Radix Representation

Decimal 129221
Binary 11111100011000101 (17 bits)
Octal 0o374305
Hexadecimal 0x1F8C5

Divisor Catalog (2)

Collatz Trajectory (193 steps to reach 1)

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

129,221 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146

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