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Atlas › Integer Profiles › Node 7,250,232

7,250,232

23 × 3 × 11 × 29 × 947
Abundant Even Composite

7,250,232 factors as 2^3 × 3 × 11 × 29 × 947. Its 64 positive divisors give a proper-divisor sum of 13,226,568, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 29 × 947
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,476,800
Proper Divisor Sum 13,226,568
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7250231 ← → #7250237

Radix Representation

Decimal 7250232
Binary 11011101010000100111000 (23 bits)
Octal 0o33520470
Hexadecimal 0x6EA138

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 947 957 1,276 1,894 1,914 2,552 2,841 3,788 3,828 5,682 7,576 7,656 10,417 11,364 20,834 22,728 27,463 31,251 41,668 54,926 62,502 82,389 83,336 109,852 125,004 164,778 219,704 250,008 302,093 329,556 604,186 659,112 906,279 1,208,372

Collatz Trajectory (147 steps to reach 1)

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

7,250,232 3,625,116 1,812,558 906,279 2,718,838 1,359,419 4,078,258 2,039,129 6,117,388 3,058,694 1,529,347 4,588,042 2,294,021 6,882,064 3,441,032 1,720,516 860,258 430,129 1,290,388 645,194 322,597 967,792 483,896 241,948 120,974 60,487 181,462 90,731 272,194 136,097 408,292 204,146 102,073 306,220 153,110 76,555 229,666 114,833 344,500 172,250 86,125 258,376 129,188 64,594 32,297 96,892 48,446 24,223 72,670 36,335 109,006 54,503 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926

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