647,237

47² × 293

647,237 factors as 47^2 × 293. Its 6 positive divisors give a proper-divisor sum of 16,321, so this integer is deficient. The Collatz stopping time is 48 steps.

Prime Factor Structure

Factorization String 47^2 × 293

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 663,558

Proper Divisor Sum 16,321

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #647219 ← → #647261

Radix Representation

Decimal	647237
Binary	10011110000001000101 (20 bits)
Octal	0o2360105
Hexadecimal	0x9E045

Divisor Catalog (6)

1 47 293 2,209 13,771 647,237

Collatz Trajectory (48 steps to reach 1)

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

647,237 1,941,712 970,856 485,428 242,714 121,357 364,072 182,036 91,018 45,509 136,528 68,264 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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