λ
Sigma Notebook

773,229

3 × 373 × 691
Deficient Odd Composite

773,229 is odd and not a perfect square. Its factorization is 3 × 373 × 691 and its 8 divisors sum to 1,035,232.

Prime Factor Structure

Factorization String 3 × 373 × 691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,035,232
Proper Divisor Sum 262,003
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #773209 ← → #773231

Radix Representation

Decimal 773229
Binary 10111100110001101101 (20 bits)
Octal 0o2746155
Hexadecimal 0xBCC6D

Divisor Catalog (8)

1 3 373 691 1,119 2,073 257,743 773,229

Collatz Trajectory (100 steps to reach 1)

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

773,229 2,319,688 1,159,844 579,922 289,961 869,884 434,942 217,471 652,414 326,207 978,622 489,311 1,467,934 733,967 2,201,902 1,100,951 3,302,854 1,651,427 4,954,282 2,477,141 7,431,424 3,715,712 1,857,856 928,928 464,464 232,232 116,116 58,058 29,029 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912

More profiles

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