213,713

213713

213,713 factors as 213713. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 213713

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 213,714

Proper Divisor Sum 1

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #213659 ← → #213721

Radix Representation

Decimal	213713
Binary	110100001011010001 (18 bits)
Octal	0o641321
Hexadecimal	0x342D1

Divisor Catalog (2)

1 213,713

Collatz Trajectory (72 steps to reach 1)

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

213,713 641,140 320,570 160,285 480,856 240,428 120,214 60,107 180,322 90,161 270,484 135,242 67,621 202,864 101,432 50,716 25,358 12,679 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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