λ
Integer Codex

5,211,743

5211743
Deficient Odd Prime

For 5,211,743, the 2 positive divisors have a total of 5,211,744. Removing 5,211,743 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 5211743
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,211,744
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5211727 ← → #5211749

Radix Representation

Decimal 5211743
Binary 10011111000011001011111 (23 bits)
Octal 0o23703137
Hexadecimal 0x4F865F

Divisor Catalog (2)

Collatz Trajectory (188 steps to reach 1)

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

5,211,743 15,635,230 7,817,615 23,452,846 11,726,423 35,179,270 17,589,635 52,768,906 26,384,453 79,153,360 39,576,680 19,788,340 9,894,170 4,947,085 14,841,256 7,420,628 3,710,314 1,855,157 5,565,472 2,782,736 1,391,368 695,684 347,842 173,921 521,764 260,882 130,441 391,324 195,662 97,831 293,494 146,747 440,242 220,121 660,364 330,182 165,091 495,274 247,637 742,912 371,456 185,728 92,864 46,432 23,216 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

More profiles

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