λ
Sigma Notebook

758,235

3 × 5 × 50549
Deficient Odd Composite

758,235 is odd and not a perfect square. Its factorization is 3 × 5 × 50549 and its 8 divisors sum to 1,213,200.

Prime Factor Structure

Factorization String 3 × 5 × 50549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,213,200
Proper Divisor Sum 454,965
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #758231 ← → #758237

Radix Representation

Decimal 758235
Binary 10111001000111011011 (20 bits)
Octal 0o2710733
Hexadecimal 0xB91DB

Divisor Catalog (8)

1 3 5 15 50,549 151,647 252,745 758,235

Collatz Trajectory (87 steps to reach 1)

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

758,235 2,274,706 1,137,353 3,412,060 1,706,030 853,015 2,559,046 1,279,523 3,838,570 1,919,285 5,757,856 2,878,928 1,439,464 719,732 359,866 179,933 539,800 269,900 134,950 67,475 202,426 101,213 303,640 151,820 75,910 37,955 113,866 56,933 170,800 85,400 42,700 21,350 10,675 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808

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