λ
Sigma Notebook

2,213,789

2213789
Deficient Odd Prime

2,213,789 is odd and not a perfect square. Its factorization is 2213789 and its 2 divisors sum to 2,213,790.

Prime Factor Structure

Factorization String 2213789
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,213,790
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2213759 ← → #2213833

Radix Representation

Decimal 2213789
Binary 1000011100011110011101 (22 bits)
Octal 0o10343635
Hexadecimal 0x21C79D

Divisor Catalog (2)

1 2,213,789

Collatz Trajectory (148 steps to reach 1)

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

2,213,789 6,641,368 3,320,684 1,660,342 830,171 2,490,514 1,245,257 3,735,772 1,867,886 933,943 2,801,830 1,400,915 4,202,746 2,101,373 6,304,120 3,152,060 1,576,030 788,015 2,364,046 1,182,023 3,546,070 1,773,035 5,319,106 2,659,553 7,978,660 3,989,330 1,994,665 5,983,996 2,991,998 1,495,999 4,487,998 2,243,999 6,731,998 3,365,999 10,097,998 5,048,999 15,146,998 7,573,499 22,720,498 11,360,249 34,080,748 17,040,374 8,520,187 25,560,562 12,780,281 38,340,844 19,170,422 9,585,211 28,755,634 14,377,817 43,133,452 21,566,726 10,783,363 32,350,090 16,175,045 48,525,136 24,262,568 12,131,284 6,065,642 3,032,821

More profiles

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