λ
Sigma Notebook

8,121,604

22 × 509 × 3989
Deficient Even Composite

8,121,604 is even and not a perfect square. Its factorization is 2^2 × 509 × 3989 and its 12 divisors sum to 14,244,300.

Prime Factor Structure

Factorization String 2^2 × 509 × 3989
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,244,300
Proper Divisor Sum 6,122,696
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8121587 ← → #8121613

Radix Representation

Decimal 8121604
Binary 11110111110110100000100 (23 bits)
Octal 0o36766404
Hexadecimal 0x7BED04

Divisor Catalog (12)

1 2 4 509 1,018 2,036 3,989 7,978 15,956 2,030,401 4,060,802 8,121,604

Collatz Trajectory (111 steps to reach 1)

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

8,121,604 4,060,802 2,030,401 6,091,204 3,045,602 1,522,801 4,568,404 2,284,202 1,142,101 3,426,304 1,713,152 856,576 428,288 214,144 107,072 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239

More profiles

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