λ
Integer Codex

2,678,471

2678471
Deficient Odd Prime

For 2,678,471, the 2 positive divisors have a total of 2,678,472. Removing 2,678,471 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2678471
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,678,472
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2678447 ← → #2678497

Radix Representation

Decimal 2678471
Binary 1010001101111011000111 (22 bits)
Octal 0o12157307
Hexadecimal 0x28DEC7

Divisor Catalog (2)

Collatz Trajectory (262 steps to reach 1)

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

2,678,471 8,035,414 4,017,707 12,053,122 6,026,561 18,079,684 9,039,842 4,519,921 13,559,764 6,779,882 3,389,941 10,169,824 5,084,912 2,542,456 1,271,228 635,614 317,807 953,422 476,711 1,430,134 715,067 2,145,202 1,072,601 3,217,804 1,608,902 804,451 2,413,354 1,206,677 3,620,032 1,810,016 905,008 452,504 226,252 113,126 56,563 169,690 84,845 254,536 127,268 63,634 31,817 95,452 47,726 23,863 71,590 35,795 107,386 53,693 161,080 80,540 40,270 20,135 60,406 30,203 90,610 45,305 135,916 67,958 33,979 101,938

More profiles

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