λ
Sigma Notebook

273,311

273311
Deficient Odd Prime

273,311 is odd and not a perfect square. Its factorization is 273311 and its 2 divisors sum to 273,312.

Prime Factor Structure

Factorization String 273311
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 273,312
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #273289 ← → #273313

Radix Representation

Decimal 273311
Binary 1000010101110011111 (19 bits)
Octal 0o1025637
Hexadecimal 0x42B9F

Divisor Catalog (2)

Collatz Trajectory (207 steps to reach 1)

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

273,311 819,934 409,967 1,229,902 614,951 1,844,854 922,427 2,767,282 1,383,641 4,150,924 2,075,462 1,037,731 3,113,194 1,556,597 4,669,792 2,334,896 1,167,448 583,724 291,862 145,931 437,794 218,897 656,692 328,346 164,173 492,520 246,260 123,130 61,565 184,696 92,348 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764 116,882 58,441 175,324 87,662 43,831 131,494 65,747 197,242 98,621 295,864 147,932 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410

More profiles

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