137²

Prime Factor Structure

Factorization String 137^2

Distinct Prime Factors 1

Square Status Yes (√18769 = 137)

Abundance Measure Deficient

Analytical Properties

Total Divisors 3

Divisor Sum (σ) 18,907

Proper Divisor Sum 138

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #18757 ← → #18773

1 137 18,769

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

18,769 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292

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