λ
Sigma Notebook

777,303

33 × 28789
Deficient Odd Composite

777,303 is odd and not a perfect square. Its factorization is 3^3 × 28789 and its 8 divisors sum to 1,151,600.

Prime Factor Structure

Factorization String 3^3 × 28789
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,151,600
Proper Divisor Sum 374,297
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #777277 ← → #777313

Radix Representation

Decimal 777303
Binary 10111101110001010111 (20 bits)
Octal 0o2756127
Hexadecimal 0xBDC57

Divisor Catalog (8)

1 3 9 27 28,789 86,367 259,101 777,303

Collatz Trajectory (56 steps to reach 1)

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

777,303 2,331,910 1,165,955 3,497,866 1,748,933 5,246,800 2,623,400 1,311,700 655,850 327,925 983,776 491,888 245,944 122,972 61,486 30,743 92,230 46,115 138,346 69,173 207,520 103,760 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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