2,125,408

2⁵ × 17 × 3907

2,125,408 has digital root 4. The neighboring primes are 2125393 and 2125411; its proper-divisor sum differs from the starting integer by 180,856.

Prime Factor Structure

Factorization String 2^5 × 17 × 3907

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,431,672

Proper Divisor Sum 2,306,264

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2125393 ← → #2125411

Radix Representation

Decimal	2125408
Binary	1000000110111001100000 (22 bits)
Octal	0o10067140
Hexadecimal	0x206E60

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 3,907 7,814 15,628 31,256 62,512 66,419 125,024 132,838 265,676 531,352 1,062,704 2,125,408

Collatz Trajectory (47 steps to reach 1)

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

2,125,408 1,062,704 531,352 265,676 132,838 66,419 199,258 99,629 298,888 149,444 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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