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Atlas › Integer Profiles › Node 7,394,530

7,394,530

2 × 5 × 11 × 13 × 5171
Abundant Even Composite

7,394,530 factors as 2 × 5 × 11 × 13 × 5171. Its 32 positive divisors give a proper-divisor sum of 8,245,598, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 13 × 5171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,640,128
Proper Divisor Sum 8,245,598
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7394521 ← → #7394531

Radix Representation

Decimal 7394530
Binary 11100001101010011100010 (23 bits)
Octal 0o34152342
Hexadecimal 0x70D4E2

Divisor Catalog (32)

1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1,430 5,171 10,342 25,855 51,710 56,881 67,223 113,762 134,446 284,405 336,115 568,810 672,230 739,453 1,478,906 3,697,265 7,394,530

Collatz Trajectory (98 steps to reach 1)

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

7,394,530 3,697,265 11,091,796 5,545,898 2,772,949 8,318,848 4,159,424 2,079,712 1,039,856 519,928 259,964 129,982 64,991 194,974 97,487 292,462 146,231 438,694 219,347 658,042 329,021 987,064 493,532 246,766 123,383 370,150 185,075 555,226 277,613 832,840 416,420 208,210 104,105 312,316 156,158 78,079 234,238 117,119 351,358 175,679 527,038 263,519 790,558 395,279 1,185,838 592,919 1,778,758 889,379 2,668,138 1,334,069 4,002,208 2,001,104 1,000,552 500,276 250,138 125,069 375,208 187,604 93,802 46,901

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