λ
Sigma Notebook

52,967

52967
Deficient Odd Prime

52,967 is odd and not a perfect square. Its factorization is 52967 and its 2 divisors sum to 52,968.

Prime Factor Structure

Factorization String 52967
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 52,968
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #52963 ← → #52973

Radix Representation

Decimal 52967
Binary 1100111011100111 (16 bits)
Octal 0o147347
Hexadecimal 0xCEE7

Divisor Catalog (2)

1 52,967

Collatz Trajectory (246 steps to reach 1)

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

52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340 301,670 150,835 452,506 226,253 678,760 339,380 169,690 84,845 254,536 127,268 63,634 31,817 95,452 47,726 23,863 71,590 35,795 107,386 53,693 161,080 80,540 40,270 20,135 60,406 30,203 90,610 45,305 135,916 67,958 33,979 101,938 50,969 152,908 76,454 38,227 114,682 57,341 172,024 86,012 43,006 21,503 64,510 32,255 96,766 48,383 145,150 72,575

More profiles

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