3,346,912

2⁵ × 41 × 2551

3,346,912 has digital root 1. The neighboring primes are 3346901 and 3346913; its proper-divisor sum differs from the starting integer by 58,768.

Prime Factor Structure

Factorization String 2^5 × 41 × 2551

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,752,592

Proper Divisor Sum 3,405,680

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3346901 ← → #3346913

Radix Representation

Decimal	3346912
Binary	1100110001000111100000 (22 bits)
Octal	0o14610740
Hexadecimal	0x3311E0

Divisor Catalog (24)

1 2 4 8 16 32 41 82 164 328 656 1,312 2,551 5,102 10,204 20,408 40,816 81,632 104,591 209,182 418,364 836,728 1,673,456 3,346,912

Collatz Trajectory (115 steps to reach 1)

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

3,346,912 1,673,456 836,728 418,364 209,182 104,591 313,774 156,887 470,662 235,331 705,994 352,997 1,058,992 529,496 264,748 132,374 66,187 198,562 99,281 297,844 148,922 74,461 223,384 111,692 55,846 27,923 83,770 41,885 125,656 62,828 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232

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