λ
Harmonic Matrix

2,024,111

2024111
Deficient Odd Prime

2,024,111 has digital root 2. The neighboring primes are 2024107 and 2024117; its proper-divisor sum differs from the starting integer by -2,024,110.

Prime Factor Structure

Factorization String 2024111
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,024,112
Proper Divisor Sum 1
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2024107 ← → #2024117

Radix Representation

Decimal 2024111
Binary 111101110001010101111 (21 bits)
Octal 0o7561257
Hexadecimal 0x1EE2AF

Divisor Catalog (2)

Collatz Trajectory (135 steps to reach 1)

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

2,024,111 6,072,334 3,036,167 9,108,502 4,554,251 13,662,754 6,831,377 20,494,132 10,247,066 5,123,533 15,370,600 7,685,300 3,842,650 1,921,325 5,763,976 2,881,988 1,440,994 720,497 2,161,492 1,080,746 540,373 1,621,120 810,560 405,280 202,640 101,320 50,660 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041

More profiles

← Previous Integer #2,024,110 Browse Full Index Next Integer #2,024,112 →