λ
Sigma Notebook

8,642,697

3 × 7 × 411557
Deficient Odd Composite

8,642,697 is odd and not a perfect square. Its factorization is 3 × 7 × 411557 and its 8 divisors sum to 13,169,856.

Prime Factor Structure

Factorization String 3 × 7 × 411557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,169,856
Proper Divisor Sum 4,527,159
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8642651 ← → #8642723

Radix Representation

Decimal 8642697
Binary 100000111110000010001001 (24 bits)
Octal 0o40760211
Hexadecimal 0x83E089

Divisor Catalog (8)

1 3 7 21 411,557 1,234,671 2,880,899 8,642,697

Collatz Trajectory (230 steps to reach 1)

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

8,642,697 25,928,092 12,964,046 6,482,023 19,446,070 9,723,035 29,169,106 14,584,553 43,753,660 21,876,830 10,938,415 32,815,246 16,407,623 49,222,870 24,611,435 73,834,306 36,917,153 110,751,460 55,375,730 27,687,865 83,063,596 41,531,798 20,765,899 62,297,698 31,148,849 93,446,548 46,723,274 23,361,637 70,084,912 35,042,456 17,521,228 8,760,614 4,380,307 13,140,922 6,570,461 19,711,384 9,855,692 4,927,846 2,463,923 7,391,770 3,695,885 11,087,656 5,543,828 2,771,914 1,385,957 4,157,872 2,078,936 1,039,468 519,734 259,867 779,602 389,801 1,169,404 584,702 292,351 877,054 438,527 1,315,582 657,791 1,973,374

More profiles

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