λ
Integer Codex

5,577,311

5577311
Deficient Odd Prime

For 5,577,311, the 2 positive divisors have a total of 5,577,312. Removing 5,577,311 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 5577311
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,577,312
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5577301 ← → #5577337

Radix Representation

Decimal 5577311
Binary 10101010001101001011111 (23 bits)
Octal 0o25215137
Hexadecimal 0x551A5F

Divisor Catalog (2)

Collatz Trajectory (201 steps to reach 1)

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

5,577,311 16,731,934 8,365,967 25,097,902 12,548,951 37,646,854 18,823,427 56,470,282 28,235,141 84,705,424 42,352,712 21,176,356 10,588,178 5,294,089 15,882,268 7,941,134 3,970,567 11,911,702 5,955,851 17,867,554 8,933,777 26,801,332 13,400,666 6,700,333 20,101,000 10,050,500 5,025,250 2,512,625 7,537,876 3,768,938 1,884,469 5,653,408 2,826,704 1,413,352 706,676 353,338 176,669 530,008 265,004 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896

More profiles

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