λ
Sigma Notebook

493,523

493523
Deficient Odd Prime

493,523 is odd and not a perfect square. Its factorization is 493523 and its 2 divisors sum to 493,524.

Prime Factor Structure

Factorization String 493523
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 493,524
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #493481 ← → #493531

Radix Representation

Decimal 493523
Binary 1111000011111010011 (19 bits)
Octal 0o1703723
Hexadecimal 0x787D3

Divisor Catalog (2)

Collatz Trajectory (169 steps to reach 1)

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

493,523 1,480,570 740,285 2,220,856 1,110,428 555,214 277,607 832,822 416,411 1,249,234 624,617 1,873,852 936,926 468,463 1,405,390 702,695 2,108,086 1,054,043 3,162,130 1,581,065 4,743,196 2,371,598 1,185,799 3,557,398 1,778,699 5,336,098 2,668,049 8,004,148 4,002,074 2,001,037 6,003,112 3,001,556 1,500,778 750,389 2,251,168 1,125,584 562,792 281,396 140,698 70,349 211,048 105,524 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790

More profiles

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