λ
Harmonic Matrix

3,346,838

2 × 11 × 149 × 1021
Deficient Even Composite

3,346,838 has digital root 8. The neighboring primes are 3346817 and 3346843; its proper-divisor sum differs from the starting integer by -1,174,876.

Prime Factor Structure

Factorization String 2 × 11 × 149 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,518,800
Proper Divisor Sum 2,171,962
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3346817 ← → #3346843

Radix Representation

Decimal 3346838
Binary 1100110001000110010110 (22 bits)
Octal 0o14610626
Hexadecimal 0x331196

Divisor Catalog (16)

1 2 11 22 149 298 1,021 1,639 2,042 3,278 11,231 22,462 152,129 304,258 1,673,419 3,346,838

Collatz Trajectory (208 steps to reach 1)

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

3,346,838 1,673,419 5,020,258 2,510,129 7,530,388 3,765,194 1,882,597 5,647,792 2,823,896 1,411,948 705,974 352,987 1,058,962 529,481 1,588,444 794,222 397,111 1,191,334 595,667 1,787,002 893,501 2,680,504 1,340,252 670,126 335,063 1,005,190 502,595 1,507,786 753,893 2,261,680 1,130,840 565,420 282,710 141,355 424,066 212,033 636,100 318,050 159,025 477,076 238,538 119,269 357,808 178,904 89,452 44,726 22,363 67,090 33,545 100,636 50,318 25,159 75,478 37,739 113,218 56,609 169,828 84,914 42,457 127,372

More profiles

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