λ
Modular Archive

505,101

3 × 101 × 1667
Deficient Odd Composite

The decimal integer 505,101 is 1111011010100001101 in binary (19 bits), 1732415 in octal and 7B50D in hexadecimal. Its digit sum is 12.

Prime Factor Structure

Factorization String 3 × 101 × 1667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 680,544
Proper Divisor Sum 175,443
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #505097 ← → #505111

Radix Representation

Decimal 505101
Binary 1111011010100001101 (19 bits)
Octal 0o1732415
Hexadecimal 0x7B50D

Divisor Catalog (8)

1 3 101 303 1,667 5,001 168,367 505,101

Collatz Trajectory (182 steps to reach 1)

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

505,101 1,515,304 757,652 378,826 189,413 568,240 284,120 142,060 71,030 35,515 106,546 53,273 159,820 79,910 39,955 119,866 59,933 179,800 89,900 44,950 22,475 67,426 33,713 101,140 50,570 25,285 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276

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