λ
Sigma Notebook

4,188,221

4188221
Deficient Odd Prime

4,188,221 is odd and not a perfect square. Its factorization is 4188221 and its 2 divisors sum to 4,188,222.

Prime Factor Structure

Factorization String 4188221
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,188,222
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4188203 ← → #4188257

Radix Representation

Decimal 4188221
Binary 1111111110100000111101 (22 bits)
Octal 0o17764075
Hexadecimal 0x3FE83D

Divisor Catalog (2)

Collatz Trajectory (105 steps to reach 1)

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

4,188,221 12,564,664 6,282,332 3,141,166 1,570,583 4,711,750 2,355,875 7,067,626 3,533,813 10,601,440 5,300,720 2,650,360 1,325,180 662,590 331,295 993,886 496,943 1,490,830 745,415 2,236,246 1,118,123 3,354,370 1,677,185 5,031,556 2,515,778 1,257,889 3,773,668 1,886,834 943,417 2,830,252 1,415,126 707,563 2,122,690 1,061,345 3,184,036 1,592,018 796,009 2,388,028 1,194,014 597,007 1,791,022 895,511 2,686,534 1,343,267 4,029,802 2,014,901 6,044,704 3,022,352 1,511,176 755,588 377,794 188,897 566,692 283,346 141,673 425,020 212,510 106,255 318,766 159,383

More profiles

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