247,932

2² × 3² × 71 × 97

247,932 factors as 2^2 × 3^2 × 71 × 97. Its 36 positive divisors give a proper-divisor sum of 394,164, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 71 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 642,096

Proper Divisor Sum 394,164

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #247913 ← → #247939

Radix Representation

Decimal	247932
Binary	111100100001111100 (18 bits)
Octal	0o744174
Hexadecimal	0x3C87C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 71 97 142 194 213 284 291 388 426 582 639 852 873 1,164 1,278 1,746 2,556 3,492 6,887 13,774 20,661 27,548 41,322 61,983 82,644 123,966 247,932

Collatz Trajectory (212 steps to reach 1)

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

247,932 123,966 61,983 185,950 92,975 278,926 139,463 418,390 209,195 627,586 313,793 941,380 470,690 235,345 706,036 353,018 176,509 529,528 264,764 132,382 66,191 198,574 99,287 297,862 148,931 446,794 223,397 670,192 335,096 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731 134,194 67,097 201,292 100,646 50,323 150,970 75,485 226,456 113,228 56,614

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