λ
Integer Codex

2,122,073

2122073
Deficient Odd Prime

For 2,122,073, the 2 positive divisors have a total of 2,122,074. Removing 2,122,073 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2122073
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,122,074
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2122063 ← → #2122079

Radix Representation

Decimal 2122073
Binary 1000000110000101011001 (22 bits)
Octal 0o10060531
Hexadecimal 0x206159

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

2,122,073 6,366,220 3,183,110 1,591,555 4,774,666 2,387,333 7,162,000 3,581,000 1,790,500 895,250 447,625 1,342,876 671,438 335,719 1,007,158 503,579 1,510,738 755,369 2,266,108 1,133,054 566,527 1,699,582 849,791 2,549,374 1,274,687 3,824,062 1,912,031 5,736,094 2,868,047 8,604,142 4,302,071 12,906,214 6,453,107 19,359,322 9,679,661 29,038,984 14,519,492 7,259,746 3,629,873 10,889,620 5,444,810 2,722,405 8,167,216 4,083,608 2,041,804 1,020,902 510,451 1,531,354 765,677 2,297,032 1,148,516 574,258 287,129 861,388 430,694 215,347 646,042 323,021 969,064 484,532

More profiles

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