λ
Sigma Notebook

8,692,927

31 × 61 × 4597
Deficient Odd Composite

8,692,927 is odd and not a perfect square. Its factorization is 31 × 61 × 4597 and its 8 divisors sum to 9,122,432.

Prime Factor Structure

Factorization String 31 × 61 × 4597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,122,432
Proper Divisor Sum 429,505
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8692909 ← → #8692961

Radix Representation

Decimal 8692927
Binary 100001001010010010111111 (24 bits)
Octal 0o41122277
Hexadecimal 0x84A4BF

Divisor Catalog (8)

1 31 61 1,891 4,597 142,507 280,417 8,692,927

Collatz Trajectory (225 steps to reach 1)

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

8,692,927 26,078,782 13,039,391 39,118,174 19,559,087 58,677,262 29,338,631 88,015,894 44,007,947 132,023,842 66,011,921 198,035,764 99,017,882 49,508,941 148,526,824 74,263,412 37,131,706 18,565,853 55,697,560 27,848,780 13,924,390 6,962,195 20,886,586 10,443,293 31,329,880 15,664,940 7,832,470 3,916,235 11,748,706 5,874,353 17,623,060 8,811,530 4,405,765 13,217,296 6,608,648 3,304,324 1,652,162 826,081 2,478,244 1,239,122 619,561 1,858,684 929,342 464,671 1,394,014 697,007 2,091,022 1,045,511 3,136,534 1,568,267 4,704,802 2,352,401 7,057,204 3,528,602 1,764,301 5,292,904 2,646,452 1,323,226 661,613 1,984,840

More profiles

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