λ
Integer Codex

2,249,209

71 × 79 × 401
Deficient Odd Composite

For 2,249,209, the 8 positive divisors have a total of 2,315,520. Removing 2,249,209 leaves 66,311, which gives the deficient classification.

Prime Factor Structure

Factorization String 71 × 79 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,315,520
Proper Divisor Sum 66,311
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2249207 ← → #2249213

Radix Representation

Decimal 2249209
Binary 1000100101000111111001 (22 bits)
Octal 0o10450771
Hexadecimal 0x2251F9

Divisor Catalog (8)

1 71 79 401 5,609 28,471 31,679 2,249,209

Collatz Trajectory (179 steps to reach 1)

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

2,249,209 6,747,628 3,373,814 1,686,907 5,060,722 2,530,361 7,591,084 3,795,542 1,897,771 5,693,314 2,846,657 8,539,972 4,269,986 2,134,993 6,404,980 3,202,490 1,601,245 4,803,736 2,401,868 1,200,934 600,467 1,801,402 900,701 2,702,104 1,351,052 675,526 337,763 1,013,290 506,645 1,519,936 759,968 379,984 189,992 94,996 47,498 23,749 71,248 35,624 17,812 8,906 4,453 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398

More profiles

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