λ
Sigma Notebook

748,065

3 × 5 × 49871
Deficient Odd Composite

748,065 is odd and not a perfect square. Its factorization is 3 × 5 × 49871 and its 8 divisors sum to 1,196,928.

Prime Factor Structure

Factorization String 3 × 5 × 49871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,196,928
Proper Divisor Sum 448,863
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #748057 ← → #748091

Radix Representation

Decimal 748065
Binary 10110110101000100001 (20 bits)
Octal 0o2665041
Hexadecimal 0xB6A21

Divisor Catalog (8)

1 3 5 15 49,871 149,613 249,355 748,065

Collatz Trajectory (74 steps to reach 1)

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

748,065 2,244,196 1,122,098 561,049 1,683,148 841,574 420,787 1,262,362 631,181 1,893,544 946,772 473,386 236,693 710,080 355,040 177,520 88,760 44,380 22,190 11,095 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22

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