λ
Sigma Notebook

8,409,004

22 × 2102251
Deficient Even Composite

8,409,004 is even and not a perfect square. Its factorization is 2^2 × 2102251 and its 6 divisors sum to 14,715,764.

Prime Factor Structure

Factorization String 2^2 × 2102251
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,715,764
Proper Divisor Sum 6,306,760
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8408993 ← → #8409019

Radix Representation

Decimal 8409004
Binary 100000000100111110101100 (24 bits)
Octal 0o40047654
Hexadecimal 0x804FAC

Divisor Catalog (6)

1 2 4 2,102,251 4,204,502 8,409,004

Collatz Trajectory (129 steps to reach 1)

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

8,409,004 4,204,502 2,102,251 6,306,754 3,153,377 9,460,132 4,730,066 2,365,033 7,095,100 3,547,550 1,773,775 5,321,326 2,660,663 7,981,990 3,990,995 11,972,986 5,986,493 17,959,480 8,979,740 4,489,870 2,244,935 6,734,806 3,367,403 10,102,210 5,051,105 15,153,316 7,576,658 3,788,329 11,364,988 5,682,494 2,841,247 8,523,742 4,261,871 12,785,614 6,392,807 19,178,422 9,589,211 28,767,634 14,383,817 43,151,452 21,575,726 10,787,863 32,363,590 16,181,795 48,545,386 24,272,693 72,818,080 36,409,040 18,204,520 9,102,260 4,551,130 2,275,565 6,826,696 3,413,348 1,706,674 853,337 2,560,012 1,280,006 640,003 1,920,010

More profiles

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