λ
Harmonic Matrix

3,340,664

23 × 417583
Deficient Even Composite

3,340,664 has digital root 8. The neighboring primes are 3340657 and 3340669; its proper-divisor sum differs from the starting integer by -417,568.

Prime Factor Structure

Factorization String 2^3 × 417583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,263,760
Proper Divisor Sum 2,923,096
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3340657 ← → #3340669

Radix Representation

Decimal 3340664
Binary 1100101111100101111000 (22 bits)
Octal 0o14574570
Hexadecimal 0x32F978

Divisor Catalog (8)

1 2 4 8 417,583 835,166 1,670,332 3,340,664

Collatz Trajectory (177 steps to reach 1)

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

3,340,664 1,670,332 835,166 417,583 1,252,750 626,375 1,879,126 939,563 2,818,690 1,409,345 4,228,036 2,114,018 1,057,009 3,171,028 1,585,514 792,757 2,378,272 1,189,136 594,568 297,284 148,642 74,321 222,964 111,482 55,741 167,224 83,612 41,806 20,903 62,710 31,355 94,066 47,033 141,100 70,550 35,275 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589

More profiles

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