λ
Ratio Atlas

5,165,563

13 × 397351
Deficient Odd Composite

5,165,563 factors as 13 × 397351. Its 4 positive divisors give a proper-divisor sum of 397,365, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 13 × 397351
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,562,928
Proper Divisor Sum 397,365
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5165557 ← → #5165579

Radix Representation

Decimal 5165563
Binary 10011101101000111111011 (23 bits)
Octal 0o23550773
Hexadecimal 0x4ED1FB

Divisor Catalog (4)

1 13 397,351 5,165,563

Collatz Trajectory (206 steps to reach 1)

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

5,165,563 15,496,690 7,748,345 23,245,036 11,622,518 5,811,259 17,433,778 8,716,889 26,150,668 13,075,334 6,537,667 19,613,002 9,806,501 29,419,504 14,709,752 7,354,876 3,677,438 1,838,719 5,516,158 2,758,079 8,274,238 4,137,119 12,411,358 6,205,679 18,617,038 9,308,519 27,925,558 13,962,779 41,888,338 20,944,169 62,832,508 31,416,254 15,708,127 47,124,382 23,562,191 70,686,574 35,343,287 106,029,862 53,014,931 159,044,794 79,522,397 238,567,192 119,283,596 59,641,798 29,820,899 89,462,698 44,731,349 134,194,048 67,097,024 33,548,512 16,774,256 8,387,128 4,193,564 2,096,782 1,048,391 3,145,174 1,572,587 4,717,762 2,358,881 7,076,644

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