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Atlas › Integer Profiles › Node 7,313,404

7,313,404

22 × 7 × 19 × 59 × 233
Abundant Even Composite

7,313,404 factors as 2^2 × 7 × 19 × 59 × 233. Its 48 positive divisors give a proper-divisor sum of 8,411,396, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 59 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,724,800
Proper Divisor Sum 8,411,396
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7313401 ← → #7313407

Radix Representation

Decimal 7313404
Binary 11011111001011111111100 (23 bits)
Octal 0o33713774
Hexadecimal 0x6F97FC

Divisor Catalog (48)

1 2 4 7 14 19 28 38 59 76 118 133 233 236 266 413 466 532 826 932 1,121 1,631 1,652 2,242 3,262 4,427 4,484 6,524 7,847 8,854 13,747 15,694 17,708 27,494 30,989 31,388 54,988 61,978 96,229 123,956 192,458 261,193 384,916 522,386 1,044,772 1,828,351 3,656,702 7,313,404

Collatz Trajectory (266 steps to reach 1)

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

7,313,404 3,656,702 1,828,351 5,485,054 2,742,527 8,227,582 4,113,791 12,341,374 6,170,687 18,512,062 9,256,031 27,768,094 13,884,047 41,652,142 20,826,071 62,478,214 31,239,107 93,717,322 46,858,661 140,575,984 70,287,992 35,143,996 17,571,998 8,785,999 26,357,998 13,178,999 39,536,998 19,768,499 59,305,498 29,652,749 88,958,248 44,479,124 22,239,562 11,119,781 33,359,344 16,679,672 8,339,836 4,169,918 2,084,959 6,254,878 3,127,439 9,382,318 4,691,159 14,073,478 7,036,739 21,110,218 10,555,109 31,665,328 15,832,664 7,916,332 3,958,166 1,979,083 5,937,250 2,968,625 8,905,876 4,452,938 2,226,469 6,679,408 3,339,704 1,669,852

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