λ
Integer Codex

2,023,993

2023993
Deficient Odd Prime

For 2,023,993, the 2 positive divisors have a total of 2,023,994. Removing 2,023,993 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2023993
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,023,994
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2023981 ← → #2024063

Radix Representation

Decimal 2023993
Binary 111101110001000111001 (21 bits)
Octal 0o7561071
Hexadecimal 0x1EE239

Divisor Catalog (2)

Collatz Trajectory (135 steps to reach 1)

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

2,023,993 6,071,980 3,035,990 1,517,995 4,553,986 2,276,993 6,830,980 3,415,490 1,707,745 5,123,236 2,561,618 1,280,809 3,842,428 1,921,214 960,607 2,881,822 1,440,911 4,322,734 2,161,367 6,484,102 3,242,051 9,726,154 4,863,077 14,589,232 7,294,616 3,647,308 1,823,654 911,827 2,735,482 1,367,741 4,103,224 2,051,612 1,025,806 512,903 1,538,710 769,355 2,308,066 1,154,033 3,462,100 1,731,050 865,525 2,596,576 1,298,288 649,144 324,572 162,286 81,143 243,430 121,715 365,146 182,573 547,720 273,860 136,930 68,465 205,396 102,698 51,349 154,048 77,024

More profiles

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