λ
Match Zalai

5,193,767

5193767
Deficient Odd Prime

5,193,767 factors as 5193767. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 5193767
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,193,768
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5193763 ← → #5193781

Radix Representation

Decimal 5193767
Binary 10011110100000000100111 (23 bits)
Octal 0o23640047
Hexadecimal 0x4F4027

Divisor Catalog (2)

Collatz Trajectory (206 steps to reach 1)

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

5,193,767 15,581,302 7,790,651 23,371,954 11,685,977 35,057,932 17,528,966 8,764,483 26,293,450 13,146,725 39,440,176 19,720,088 9,860,044 4,930,022 2,465,011 7,395,034 3,697,517 11,092,552 5,546,276 2,773,138 1,386,569 4,159,708 2,079,854 1,039,927 3,119,782 1,559,891 4,679,674 2,339,837 7,019,512 3,509,756 1,754,878 877,439 2,632,318 1,316,159 3,948,478 1,974,239 5,922,718 2,961,359 8,884,078 4,442,039 13,326,118 6,663,059 19,989,178 9,994,589 29,983,768 14,991,884 7,495,942 3,747,971 11,243,914 5,621,957 16,865,872 8,432,936 4,216,468 2,108,234 1,054,117 3,162,352 1,581,176 790,588 395,294 197,647

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