λ
Math Directory

7,445,711

7 × 13 × 17 × 4813
Deficient Odd Composite

7,445,711 factors as 7 × 13 × 17 × 4813. Its 16 positive divisors give a proper-divisor sum of 2,259,313, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 7 × 13 × 17 × 4813
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,705,024
Proper Divisor Sum 2,259,313
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7445707 ← → #7445719

Radix Representation

Decimal 7445711
Binary 11100011001110011001111 (23 bits)
Octal 0o34316317
Hexadecimal 0x719CCF

Divisor Catalog (16)

1 7 13 17 91 119 221 1,547 4,813 33,691 62,569 81,821 437,983 572,747 1,063,673 7,445,711

Collatz Trajectory (173 steps to reach 1)

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

7,445,711 22,337,134 11,168,567 33,505,702 16,752,851 50,258,554 25,129,277 75,387,832 37,693,916 18,846,958 9,423,479 28,270,438 14,135,219 42,405,658 21,202,829 63,608,488 31,804,244 15,902,122 7,951,061 23,853,184 11,926,592 5,963,296 2,981,648 1,490,824 745,412 372,706 186,353 559,060 279,530 139,765 419,296 209,648 104,824 52,412 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312

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