4,121,664

2⁶ × 3 × 21467

4,121,664 has digital root 6. The neighboring primes are 4121657 and 4121687; its proper-divisor sum differs from the starting integer by 2,662,416.

Prime Factor Structure

Factorization String 2^6 × 3 × 21467

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 10,905,744

Proper Divisor Sum 6,784,080

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4121657 ← → #4121687

Radix Representation

Decimal	4121664
Binary	1111101110010001000000 (22 bits)
Octal	0o17562100
Hexadecimal	0x3EE440

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 21,467 42,934 64,401 85,868 128,802 171,736 257,604 343,472 515,208 686,944 1,030,416 1,373,888 2,060,832 4,121,664

Collatz Trajectory (53 steps to reach 1)

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

4,121,664 2,060,832 1,030,416 515,208 257,604 128,802 64,401 193,204 96,602 48,301 144,904 72,452 36,226 18,113 54,340 27,170 13,585 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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