λ
Sigma Notebook

7,390,563

3 × 17 × 19 × 29 × 263
Deficient Odd Composite

7,390,563 is odd and not a perfect square. Its factorization is 3 × 17 × 19 × 29 × 263 and its 32 divisors sum to 11,404,800.

Prime Factor Structure

Factorization String 3 × 17 × 19 × 29 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,404,800
Proper Divisor Sum 4,014,237
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7390561 ← → #7390573

Radix Representation

Decimal 7390563
Binary 11100001100010101100011 (23 bits)
Octal 0o34142543
Hexadecimal 0x70C563

Divisor Catalog (32)

1 3 17 19 29 51 57 87 263 323 493 551 789 969 1,479 1,653 4,471 4,997 7,627 9,367 13,413 14,991 22,881 28,101 84,949 129,659 144,913 254,847 388,977 434,739 2,463,521 7,390,563

Collatz Trajectory (204 steps to reach 1)

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

7,390,563 22,171,690 11,085,845 33,257,536 16,628,768 8,314,384 4,157,192 2,078,596 1,039,298 519,649 1,558,948 779,474 389,737 1,169,212 584,606 292,303 876,910 438,455 1,315,366 657,683 1,973,050 986,525 2,959,576 1,479,788 739,894 369,947 1,109,842 554,921 1,664,764 832,382 416,191 1,248,574 624,287 1,872,862 936,431 2,809,294 1,404,647 4,213,942 2,106,971 6,320,914 3,160,457 9,481,372 4,740,686 2,370,343 7,111,030 3,555,515 10,666,546 5,333,273 15,999,820 7,999,910 3,999,955 11,999,866 5,999,933 17,999,800 8,999,900 4,499,950 2,249,975 6,749,926 3,374,963 10,124,890

More profiles

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