λ
Sigma Notebook

7,489,743

3 × 19 × 23 × 29 × 197
Deficient Odd Composite

7,489,743 is odd and not a perfect square. Its factorization is 3 × 19 × 23 × 29 × 197 and its 32 divisors sum to 11,404,800.

Prime Factor Structure

Factorization String 3 × 19 × 23 × 29 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,404,800
Proper Divisor Sum 3,915,057
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7489739 ← → #7489771

Radix Representation

Decimal 7489743
Binary 11100100100100011001111 (23 bits)
Octal 0o34444317
Hexadecimal 0x7248CF

Divisor Catalog (32)

1 3 19 23 29 57 69 87 197 437 551 591 667 1,311 1,653 2,001 3,743 4,531 5,713 11,229 12,673 13,593 17,139 38,019 86,089 108,547 131,399 258,267 325,641 394,197 2,496,581 7,489,743

Collatz Trajectory (217 steps to reach 1)

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

7,489,743 22,469,230 11,234,615 33,703,846 16,851,923 50,555,770 25,277,885 75,833,656 37,916,828 18,958,414 9,479,207 28,437,622 14,218,811 42,656,434 21,328,217 63,984,652 31,992,326 15,996,163 47,988,490 23,994,245 71,982,736 35,991,368 17,995,684 8,997,842 4,498,921 13,496,764 6,748,382 3,374,191 10,122,574 5,061,287 15,183,862 7,591,931 22,775,794 11,387,897 34,163,692 17,081,846 8,540,923 25,622,770 12,811,385 38,434,156 19,217,078 9,608,539 28,825,618 14,412,809 43,238,428 21,619,214 10,809,607 32,428,822 16,214,411 48,643,234 24,321,617 72,964,852 36,482,426 18,241,213 54,723,640 27,361,820 13,680,910 6,840,455 20,521,366 10,260,683

More profiles

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