λ
Sigma Notebook

733,864

23 × 91733
Deficient Even Composite

733,864 is even and not a perfect square. Its factorization is 2^3 × 91733 and its 8 divisors sum to 1,376,010.

Prime Factor Structure

Factorization String 2^3 × 91733
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,376,010
Proper Divisor Sum 642,146
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #733849 ← → #733867

Radix Representation

Decimal 733864
Binary 10110011001010101000 (20 bits)
Octal 0o2631250
Hexadecimal 0xB32A8

Divisor Catalog (8)

1 2 4 8 91,733 183,466 366,932 733,864

Collatz Trajectory (35 steps to reach 1)

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

733,864 366,932 183,466 91,733 275,200 137,600 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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