λ
Sigma Notebook

8,127,987

3 × 7 × 387047
Deficient Odd Composite

8,127,987 is odd and not a perfect square. Its factorization is 3 × 7 × 387047 and its 8 divisors sum to 12,385,536.

Prime Factor Structure

Factorization String 3 × 7 × 387047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,385,536
Proper Divisor Sum 4,257,549
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8127979 ← → #8127997

Radix Representation

Decimal 8127987
Binary 11111000000010111110011 (23 bits)
Octal 0o37002763
Hexadecimal 0x7C05F3

Divisor Catalog (8)

1 3 7 21 387,047 1,161,141 2,709,329 8,127,987

Collatz Trajectory (62 steps to reach 1)

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

8,127,987 24,383,962 12,191,981 36,575,944 18,287,972 9,143,986 4,571,993 13,715,980 6,857,990 3,428,995 10,286,986 5,143,493 15,430,480 7,715,240 3,857,620 1,928,810 964,405 2,893,216 1,446,608 723,304 361,652 180,826 90,413 271,240 135,620 67,810 33,905 101,716 50,858 25,429 76,288 38,144 19,072 9,536 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

More profiles

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