λ
Sigma Notebook

7,126,227

32 × 791803
Deficient Odd Composite

7,126,227 is odd and not a perfect square. Its factorization is 3^2 × 791803 and its 6 divisors sum to 10,293,452.

Prime Factor Structure

Factorization String 3^2 × 791803
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,293,452
Proper Divisor Sum 3,167,225
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7126201 ← → #7126243

Radix Representation

Decimal 7126227
Binary 11011001011110011010011 (23 bits)
Octal 0o33136323
Hexadecimal 0x6CBCD3

Divisor Catalog (6)

1 3 9 791,803 2,375,409 7,126,227

Collatz Trajectory (160 steps to reach 1)

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

7,126,227 21,378,682 10,689,341 32,068,024 16,034,012 8,017,006 4,008,503 12,025,510 6,012,755 18,038,266 9,019,133 27,057,400 13,528,700 6,764,350 3,382,175 10,146,526 5,073,263 15,219,790 7,609,895 22,829,686 11,414,843 34,244,530 17,122,265 51,366,796 25,683,398 12,841,699 38,525,098 19,262,549 57,787,648 28,893,824 14,446,912 7,223,456 3,611,728 1,805,864 902,932 451,466 225,733 677,200 338,600 169,300 84,650 42,325 126,976 63,488 31,744 15,872 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214

More profiles

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