2,024,084

2² × 29 × 17449

2,024,084 has digital root 2. The neighboring primes are 2024063 and 2024093; its proper-divisor sum differs from the starting integer by -383,668.

Prime Factor Structure

Factorization String 2^2 × 29 × 17449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,664,500

Proper Divisor Sum 1,640,416

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2024063 ← → #2024093

Radix Representation

Decimal	2024084
Binary	111101110001010010100 (21 bits)
Octal	0o7561224
Hexadecimal	0x1EE294

Divisor Catalog (12)

1 2 4 29 58 116 17,449 34,898 69,796 506,021 1,012,042 2,024,084

Collatz Trajectory (166 steps to reach 1)

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

2,024,084 1,012,042 506,021 1,518,064 759,032 379,516 189,758 94,879 284,638 142,319 426,958 213,479 640,438 320,219 960,658 480,329 1,440,988 720,494 360,247 1,080,742 540,371 1,621,114 810,557 2,431,672 1,215,836 607,918 303,959 911,878 455,939 1,367,818 683,909 2,051,728 1,025,864 512,932 256,466 128,233 384,700 192,350 96,175 288,526 144,263 432,790 216,395 649,186 324,593 973,780 486,890 243,445 730,336 365,168 182,584 91,292 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030

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