λ
Sigma Notebook

2,211,817

2211817
Deficient Odd Prime

2,211,817 is odd and not a perfect square. Its factorization is 2211817 and its 2 divisors sum to 2,211,818.

Prime Factor Structure

Factorization String 2211817
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,211,818
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2211793 ← → #2211821

Radix Representation

Decimal 2211817
Binary 1000011011111111101001 (22 bits)
Octal 0o10337751
Hexadecimal 0x21BFE9

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

2,211,817 6,635,452 3,317,726 1,658,863 4,976,590 2,488,295 7,464,886 3,732,443 11,197,330 5,598,665 16,795,996 8,397,998 4,198,999 12,596,998 6,298,499 18,895,498 9,447,749 28,343,248 14,171,624 7,085,812 3,542,906 1,771,453 5,314,360 2,657,180 1,328,590 664,295 1,992,886 996,443 2,989,330 1,494,665 4,483,996 2,241,998 1,120,999 3,362,998 1,681,499 5,044,498 2,522,249 7,566,748 3,783,374 1,891,687 5,675,062 2,837,531 8,512,594 4,256,297 12,768,892 6,384,446 3,192,223 9,576,670 4,788,335 14,365,006 7,182,503 21,547,510 10,773,755 32,321,266 16,160,633 48,481,900 24,240,950 12,120,475 36,361,426 18,180,713

More profiles

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