λ
Sigma Notebook

8,268,291

33 × 373 × 821
Deficient Odd Composite

8,268,291 is odd and not a perfect square. Its factorization is 3^3 × 373 × 821 and its 16 divisors sum to 12,297,120.

Prime Factor Structure

Factorization String 3^3 × 373 × 821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,297,120
Proper Divisor Sum 4,028,829
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8268283 ← → #8268301

Radix Representation

Decimal 8268291
Binary 11111100010101000000011 (23 bits)
Octal 0o37425003
Hexadecimal 0x7E2A03

Divisor Catalog (16)

1 3 9 27 373 821 1,119 2,463 3,357 7,389 10,071 22,167 306,233 918,699 2,756,097 8,268,291

Collatz Trajectory (168 steps to reach 1)

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

8,268,291 24,804,874 12,402,437 37,207,312 18,603,656 9,301,828 4,650,914 2,325,457 6,976,372 3,488,186 1,744,093 5,232,280 2,616,140 1,308,070 654,035 1,962,106 981,053 2,943,160 1,471,580 735,790 367,895 1,103,686 551,843 1,655,530 827,765 2,483,296 1,241,648 620,824 310,412 155,206 77,603 232,810 116,405 349,216 174,608 87,304 43,652 21,826 10,913 32,740 16,370 8,185 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743

More profiles

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