λ
Sigma Notebook

8,262,849

3 × 7 × 89 × 4421
Deficient Odd Composite

8,262,849 is odd and not a perfect square. Its factorization is 3 × 7 × 89 × 4421 and its 16 divisors sum to 12,735,360.

Prime Factor Structure

Factorization String 3 × 7 × 89 × 4421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,735,360
Proper Divisor Sum 4,472,511
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8262841 ← → #8262857

Radix Representation

Decimal 8262849
Binary 11111100001010011000001 (23 bits)
Octal 0o37412301
Hexadecimal 0x7E14C1

Divisor Catalog (16)

1 3 7 21 89 267 623 1,869 4,421 13,263 30,947 92,841 393,469 1,180,407 2,754,283 8,262,849

Collatz Trajectory (274 steps to reach 1)

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

8,262,849 24,788,548 12,394,274 6,197,137 18,591,412 9,295,706 4,647,853 13,943,560 6,971,780 3,485,890 1,742,945 5,228,836 2,614,418 1,307,209 3,921,628 1,960,814 980,407 2,941,222 1,470,611 4,411,834 2,205,917 6,617,752 3,308,876 1,654,438 827,219 2,481,658 1,240,829 3,722,488 1,861,244 930,622 465,311 1,395,934 697,967 2,093,902 1,046,951 3,140,854 1,570,427 4,711,282 2,355,641 7,066,924 3,533,462 1,766,731 5,300,194 2,650,097 7,950,292 3,975,146 1,987,573 5,962,720 2,981,360 1,490,680 745,340 372,670 186,335 559,006 279,503 838,510 419,255 1,257,766 628,883 1,886,650

More profiles

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