λ
Integer Codex

2,177,779

2177779
Deficient Odd Prime

For 2,177,779, the 2 positive divisors have a total of 2,177,780. Removing 2,177,779 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2177779
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,177,780
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2177767 ← → #2177789

Radix Representation

Decimal 2177779
Binary 1000010011101011110011 (22 bits)
Octal 0o10235363
Hexadecimal 0x213AF3

Divisor Catalog (2)

Collatz Trajectory (210 steps to reach 1)

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

2,177,779 6,533,338 3,266,669 9,800,008 4,900,004 2,450,002 1,225,001 3,675,004 1,837,502 918,751 2,756,254 1,378,127 4,134,382 2,067,191 6,201,574 3,100,787 9,302,362 4,651,181 13,953,544 6,976,772 3,488,386 1,744,193 5,232,580 2,616,290 1,308,145 3,924,436 1,962,218 981,109 2,943,328 1,471,664 735,832 367,916 183,958 91,979 275,938 137,969 413,908 206,954 103,477 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822

More profiles

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