λ
Sigma Notebook

611,011

611011
Deficient Odd Prime

611,011 is odd and not a perfect square. Its factorization is 611011 and its 2 divisors sum to 611,012.

Prime Factor Structure

Factorization String 611011
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 611,012
Proper Divisor Sum 1
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #610993 ← → #611027

Radix Representation

Decimal 611011
Binary 10010101001011000011 (20 bits)
Octal 0o2251303
Hexadecimal 0x952C3

Divisor Catalog (2)

Collatz Trajectory (159 steps to reach 1)

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

611,011 1,833,034 916,517 2,749,552 1,374,776 687,388 343,694 171,847 515,542 257,771 773,314 386,657 1,159,972 579,986 289,993 869,980 434,990 217,495 652,486 326,243 978,730 489,365 1,468,096 734,048 367,024 183,512 91,756 45,878 22,939 68,818 34,409 103,228 51,614 25,807 77,422 38,711 116,134 58,067 174,202 87,101 261,304 130,652 65,326 32,663 97,990 48,995 146,986 73,493 220,480 110,240 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646

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