2,108,224

2⁶ × 32941

2,108,224 has digital root 1. The neighboring primes are 2108177 and 2108231; its proper-divisor sum differs from the starting integer by -32,814.

Prime Factor Structure

Factorization String 2^6 × 32941

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 4,183,634

Proper Divisor Sum 2,075,410

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2108177 ← → #2108231

Radix Representation

Decimal	2108224
Binary	1000000010101101000000 (22 bits)
Octal	0o10025500
Hexadecimal	0x202B40

Divisor Catalog (14)

1 2 4 8 16 32 64 32,941 65,882 131,764 263,528 527,056 1,054,112 2,108,224

Collatz Trajectory (122 steps to reach 1)

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

2,108,224 1,054,112 527,056 263,528 131,764 65,882 32,941 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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