λ
Harmonic Matrix

3,318,484

22 × 132 × 4909
Deficient Even Composite

3,318,484 has digital root 4. The neighboring primes are 3318479 and 3318503; its proper-divisor sum differs from the starting integer by -347,258.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 4909
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,289,710
Proper Divisor Sum 2,971,226
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3318479 ← → #3318503

Radix Representation

Decimal 3318484
Binary 1100101010001011010100 (22 bits)
Octal 0o14521324
Hexadecimal 0x32A2D4

Divisor Catalog (18)

1 2 4 13 26 52 169 338 676 4,909 9,818 19,636 63,817 127,634 255,268 829,621 1,659,242 3,318,484

Collatz Trajectory (177 steps to reach 1)

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

3,318,484 1,659,242 829,621 2,488,864 1,244,432 622,216 311,108 155,554 77,777 233,332 116,666 58,333 175,000 87,500 43,750 21,875 65,626 32,813 98,440 49,220 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

More profiles

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