λ
Sigma Notebook

7,228,688

24 × 451793
Deficient Even Composite

7,228,688 is even and not a perfect square. Its factorization is 2^4 × 451793 and its 10 divisors sum to 14,005,614.

Prime Factor Structure

Factorization String 2^4 × 451793
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 14,005,614
Proper Divisor Sum 6,776,926
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7228681 ← → #7228691

Radix Representation

Decimal 7228688
Binary 11011100100110100010000 (23 bits)
Octal 0o33446420
Hexadecimal 0x6E4D10

Divisor Catalog (10)

1 2 4 8 16 451,793 903,586 1,807,172 3,614,344 7,228,688

Collatz Trajectory (90 steps to reach 1)

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

7,228,688 3,614,344 1,807,172 903,586 451,793 1,355,380 677,690 338,845 1,016,536 508,268 254,134 127,067 381,202 190,601 571,804 285,902 142,951 428,854 214,427 643,282 321,641 964,924 482,462 241,231 723,694 361,847 1,085,542 542,771 1,628,314 814,157 2,442,472 1,221,236 610,618 305,309 915,928 457,964 228,982 114,491 343,474 171,737 515,212 257,606 128,803 386,410 193,205 579,616 289,808 144,904 72,452 36,226 18,113 54,340 27,170 13,585 40,756 20,378 10,189 30,568 15,284 7,642

More profiles

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