λ
Integer Codex

2,205,761

2205761
Deficient Odd Prime

For 2,205,761, the 2 positive divisors have a total of 2,205,762. Removing 2,205,761 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2205761
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,205,762
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2205719 ← → #2205779

Radix Representation

Decimal 2205761
Binary 1000011010100001000001 (22 bits)
Octal 0o10324101
Hexadecimal 0x21A841

Divisor Catalog (2)

Collatz Trajectory (117 steps to reach 1)

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

2,205,761 6,617,284 3,308,642 1,654,321 4,962,964 2,481,482 1,240,741 3,722,224 1,861,112 930,556 465,278 232,639 697,918 348,959 1,046,878 523,439 1,570,318 785,159 2,355,478 1,177,739 3,533,218 1,766,609 5,299,828 2,649,914 1,324,957 3,974,872 1,987,436 993,718 496,859 1,490,578 745,289 2,235,868 1,117,934 558,967 1,676,902 838,451 2,515,354 1,257,677 3,773,032 1,886,516 943,258 471,629 1,414,888 707,444 353,722 176,861 530,584 265,292 132,646 66,323 198,970 99,485 298,456 149,228 74,614 37,307 111,922 55,961 167,884 83,942

More profiles

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