λ
Sigma Notebook

7,626,191

947 × 8053
Deficient Odd Composite

7,626,191 is odd and not a perfect square. Its factorization is 947 × 8053 and its 4 divisors sum to 7,635,192.

Prime Factor Structure

Factorization String 947 × 8053
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,635,192
Proper Divisor Sum 9,001
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7626167 ← → #7626197

Radix Representation

Decimal 7626191
Binary 11101000101110111001111 (23 bits)
Octal 0o35056717
Hexadecimal 0x745DCF

Divisor Catalog (4)

1 947 8,053 7,626,191

Collatz Trajectory (103 steps to reach 1)

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

7,626,191 22,878,574 11,439,287 34,317,862 17,158,931 51,476,794 25,738,397 77,215,192 38,607,596 19,303,798 9,651,899 28,955,698 14,477,849 43,433,548 21,716,774 10,858,387 32,575,162 16,287,581 48,862,744 24,431,372 12,215,686 6,107,843 18,323,530 9,161,765 27,485,296 13,742,648 6,871,324 3,435,662 1,717,831 5,153,494 2,576,747 7,730,242 3,865,121 11,595,364 5,797,682 2,898,841 8,696,524 4,348,262 2,174,131 6,522,394 3,261,197 9,783,592 4,891,796 2,445,898 1,222,949 3,668,848 1,834,424 917,212 458,606 229,303 687,910 343,955 1,031,866 515,933 1,547,800 773,900 386,950 193,475 580,426 290,213

More profiles

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