λ
Modular Archive

766,901

766901
Deficient Odd Prime

The decimal integer 766,901 is 10111011001110110101 in binary (20 bits), 2731665 in octal and BB3B5 in hexadecimal. Its digit sum is 29.

Prime Factor Structure

Factorization String 766901
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 766,902
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #766891 ← → #766907

Radix Representation

Decimal 766901
Binary 10111011001110110101 (20 bits)
Octal 0o2731665
Hexadecimal 0xBB3B5

Divisor Catalog (2)

Collatz Trajectory (100 steps to reach 1)

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

766,901 2,300,704 1,150,352 575,176 287,588 143,794 71,897 215,692 107,846 53,923 161,770 80,885 242,656 121,328 60,664 30,332 15,166 7,583 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812

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