λ
Sigma Notebook

64,301

64301
Deficient Odd Prime

64,301 is odd and not a perfect square. Its factorization is 64301 and its 2 divisors sum to 64,302.

Prime Factor Structure

Factorization String 64301
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 64,302
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #64283 ← → #64303

Radix Representation

Decimal 64301
Binary 1111101100101101 (16 bits)
Octal 0o175455
Hexadecimal 0xFB2D

Divisor Catalog (2)

1 64,301

Collatz Trajectory (192 steps to reach 1)

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

64,301 192,904 96,452 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449

More profiles

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