λ
Integer Codex

2,906,993

23 × 97 × 1303
Deficient Odd Composite

For 2,906,993, the 8 positive divisors have a total of 3,067,008. Removing 2,906,993 leaves 160,015, which gives the deficient classification.

Prime Factor Structure

Factorization String 23 × 97 × 1303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,067,008
Proper Divisor Sum 160,015
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2906987 ← → #2906999

Radix Representation

Decimal 2906993
Binary 1011000101101101110001 (22 bits)
Octal 0o13055561
Hexadecimal 0x2C5B71

Divisor Catalog (8)

1 23 97 1,303 2,231 29,969 126,391 2,906,993

Collatz Trajectory (169 steps to reach 1)

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

2,906,993 8,720,980 4,360,490 2,180,245 6,540,736 3,270,368 1,635,184 817,592 408,796 204,398 102,199 306,598 153,299 459,898 229,949 689,848 344,924 172,462 86,231 258,694 129,347 388,042 194,021 582,064 291,032 145,516 72,758 36,379 109,138 54,569 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440

More profiles

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