λ
Sigma Notebook

8,210,579

13 × 631583
Deficient Odd Composite

8,210,579 is odd and not a perfect square. Its factorization is 13 × 631583 and its 4 divisors sum to 8,842,176.

Prime Factor Structure

Factorization String 13 × 631583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,842,176
Proper Divisor Sum 631,597
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8210561 ← → #8210599

Radix Representation

Decimal 8210579
Binary 11111010100100010010011 (23 bits)
Octal 0o37244223
Hexadecimal 0x7D4893

Divisor Catalog (4)

1 13 631,583 8,210,579

Collatz Trajectory (111 steps to reach 1)

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

8,210,579 24,631,738 12,315,869 36,947,608 18,473,804 9,236,902 4,618,451 13,855,354 6,927,677 20,783,032 10,391,516 5,195,758 2,597,879 7,793,638 3,896,819 11,690,458 5,845,229 17,535,688 8,767,844 4,383,922 2,191,961 6,575,884 3,287,942 1,643,971 4,931,914 2,465,957 7,397,872 3,698,936 1,849,468 924,734 462,367 1,387,102 693,551 2,080,654 1,040,327 3,120,982 1,560,491 4,681,474 2,340,737 7,022,212 3,511,106 1,755,553 5,266,660 2,633,330 1,316,665 3,949,996 1,974,998 987,499 2,962,498 1,481,249 4,443,748 2,221,874 1,110,937 3,332,812 1,666,406 833,203 2,499,610 1,249,805 3,749,416 1,874,708

More profiles

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