972,252

2² × 3² × 113 × 239

972,252 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 113 × 239 and its 36 divisors sum to 2,489,760.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 113 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,489,760

Proper Divisor Sum 1,517,508

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #972229 ← → #972259

Radix Representation

Decimal	972252
Binary	11101101010111011100 (20 bits)
Octal	0o3552734
Hexadecimal	0xED5DC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 113 226 239 339 452 478 678 717 956 1,017 1,356 1,434 2,034 2,151 2,868 4,068 4,302 8,604 27,007 54,014 81,021 108,028 162,042 243,063 324,084 486,126 972,252

Collatz Trajectory (183 steps to reach 1)

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

972,252 486,126 243,063 729,190 364,595 1,093,786 546,893 1,640,680 820,340 410,170 205,085 615,256 307,628 153,814 76,907 230,722 115,361 346,084 173,042 86,521 259,564 129,782 64,891 194,674 97,337 292,012 146,006 73,003 219,010 109,505 328,516 164,258 82,129 246,388 123,194 61,597 184,792 92,396 46,198 23,099 69,298 34,649 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028

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