λ
Integer Codex

3,413,019

3 × 1137673
Deficient Odd Composite

For 3,413,019, the 4 positive divisors have a total of 4,550,696. Removing 3,413,019 leaves 1,137,677, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 1137673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,550,696
Proper Divisor Sum 1,137,677
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3413017 ← → #3413021

Radix Representation

Decimal 3413019
Binary 1101000001010000011011 (22 bits)
Octal 0o15012033
Hexadecimal 0x34141B

Divisor Catalog (4)

1 3 1,137,673 3,413,019

Collatz Trajectory (208 steps to reach 1)

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

3,413,019 10,239,058 5,119,529 15,358,588 7,679,294 3,839,647 11,518,942 5,759,471 17,278,414 8,639,207 25,917,622 12,958,811 38,876,434 19,438,217 58,314,652 29,157,326 14,578,663 43,735,990 21,867,995 65,603,986 32,801,993 98,405,980 49,202,990 24,601,495 73,804,486 36,902,243 110,706,730 55,353,365 166,060,096 83,030,048 41,515,024 20,757,512 10,378,756 5,189,378 2,594,689 7,784,068 3,892,034 1,946,017 5,838,052 2,919,026 1,459,513 4,378,540 2,189,270 1,094,635 3,283,906 1,641,953 4,925,860 2,462,930 1,231,465 3,694,396 1,847,198 923,599 2,770,798 1,385,399 4,156,198 2,078,099 6,234,298 3,117,149 9,351,448 4,675,724

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