λ
Harmonic Matrix

3,359,949

3 × 79 × 14177
Deficient Odd Composite

3,359,949 has digital root 6. The neighboring primes are 3359927 and 3359953; its proper-divisor sum differs from the starting integer by -2,182,938.

Prime Factor Structure

Factorization String 3 × 79 × 14177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,536,960
Proper Divisor Sum 1,177,011
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3359927 ← → #3359953

Radix Representation

Decimal 3359949
Binary 1100110100010011001101 (22 bits)
Octal 0o14642315
Hexadecimal 0x3344CD

Divisor Catalog (8)

1 3 79 237 14,177 42,531 1,119,983 3,359,949

Collatz Trajectory (283 steps to reach 1)

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

3,359,949 10,079,848 5,039,924 2,519,962 1,259,981 3,779,944 1,889,972 944,986 472,493 1,417,480 708,740 354,370 177,185 531,556 265,778 132,889 398,668 199,334 99,667 299,002 149,501 448,504 224,252 112,126 56,063 168,190 84,095 252,286 126,143 378,430 189,215 567,646 283,823 851,470 425,735 1,277,206 638,603 1,915,810 957,905 2,873,716 1,436,858 718,429 2,155,288 1,077,644 538,822 269,411 808,234 404,117 1,212,352 606,176 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870

More profiles

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