λ
Integer Codex

8,022,343

7 × 1146049
Deficient Odd Composite

For 8,022,343, the 4 positive divisors have a total of 9,168,400. Removing 8,022,343 leaves 1,146,057, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 1146049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,168,400
Proper Divisor Sum 1,146,057
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8022323 ← → #8022353

Radix Representation

Decimal 8022343
Binary 11110100110100101000111 (23 bits)
Octal 0o36464507
Hexadecimal 0x7A6947

Divisor Catalog (4)

1 7 1,146,049 8,022,343

Collatz Trajectory (142 steps to reach 1)

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

8,022,343 24,067,030 12,033,515 36,100,546 18,050,273 54,150,820 27,075,410 13,537,705 40,613,116 20,306,558 10,153,279 30,459,838 15,229,919 45,689,758 22,844,879 68,534,638 34,267,319 102,801,958 51,400,979 154,202,938 77,101,469 231,304,408 115,652,204 57,826,102 28,913,051 86,739,154 43,369,577 130,108,732 65,054,366 32,527,183 97,581,550 48,790,775 146,372,326 73,186,163 219,558,490 109,779,245 329,337,736 164,668,868 82,334,434 41,167,217 123,501,652 61,750,826 30,875,413 92,626,240 46,313,120 23,156,560 11,578,280 5,789,140 2,894,570 1,447,285 4,341,856 2,170,928 1,085,464 542,732 271,366 135,683 407,050 203,525 610,576 305,288

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