λ
Sigma Notebook

8,211,999

3 × 2737333
Deficient Odd Composite

8,211,999 is odd and not a perfect square. Its factorization is 3 × 2737333 and its 4 divisors sum to 10,949,336.

Prime Factor Structure

Factorization String 3 × 2737333
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,949,336
Proper Divisor Sum 2,737,337
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8211991 ← → #8212019

Radix Representation

Decimal 8211999
Binary 11111010100111000011111 (23 bits)
Octal 0o37247037
Hexadecimal 0x7D4E1F

Divisor Catalog (4)

1 3 2,737,333 8,211,999

Collatz Trajectory (336 steps to reach 1)

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

8,211,999 24,635,998 12,317,999 36,953,998 18,476,999 55,430,998 27,715,499 83,146,498 41,573,249 124,719,748 62,359,874 31,179,937 93,539,812 46,769,906 23,384,953 70,154,860 35,077,430 17,538,715 52,616,146 26,308,073 78,924,220 39,462,110 19,731,055 59,193,166 29,596,583 88,789,750 44,394,875 133,184,626 66,592,313 199,776,940 99,888,470 49,944,235 149,832,706 74,916,353 224,749,060 112,374,530 56,187,265 168,561,796 84,280,898 42,140,449 126,421,348 63,210,674 31,605,337 94,816,012 47,408,006 23,704,003 71,112,010 35,556,005 106,668,016 53,334,008 26,667,004 13,333,502 6,666,751 20,000,254 10,000,127 30,000,382 15,000,191 45,000,574 22,500,287 67,500,862

More profiles

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