λ
Sigma Notebook

8,197,832

23 × 1024729
Deficient Even Composite

8,197,832 is even and not a perfect square. Its factorization is 2^3 × 1024729 and its 8 divisors sum to 15,370,950.

Prime Factor Structure

Factorization String 2^3 × 1024729
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,370,950
Proper Divisor Sum 7,173,118
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8197829 ← → #8197837

Radix Representation

Decimal 8197832
Binary 11111010001011011001000 (23 bits)
Octal 0o37213310
Hexadecimal 0x7D16C8

Divisor Catalog (8)

1 2 4 8 1,024,729 2,049,458 4,098,916 8,197,832

Collatz Trajectory (80 steps to reach 1)

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

8,197,832 4,098,916 2,049,458 1,024,729 3,074,188 1,537,094 768,547 2,305,642 1,152,821 3,458,464 1,729,232 864,616 432,308 216,154 108,077 324,232 162,116 81,058 40,529 121,588 60,794 30,397 91,192 45,596 22,798 11,399 34,198 17,099 51,298 25,649 76,948 38,474 19,237 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

More profiles

← Previous Integer #8,197,831 Browse Full Index Next Integer #8,197,833 →