λ
Harmonic Matrix

5,797,167

3 × 521 × 3709
Deficient Odd Composite

5,797,167 has digital root 6. The neighboring primes are 5797159 and 5797177; its proper-divisor sum differs from the starting integer by -3,847,854.

Prime Factor Structure

Factorization String 3 × 521 × 3709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,746,480
Proper Divisor Sum 1,949,313
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5797159 ← → #5797177

Radix Representation

Decimal 5797167
Binary 10110000111010100101111 (23 bits)
Octal 0o26072457
Hexadecimal 0x58752F

Divisor Catalog (8)

1 3 521 1,563 3,709 11,127 1,932,389 5,797,167

Collatz Trajectory (214 steps to reach 1)

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

5,797,167 17,391,502 8,695,751 26,087,254 13,043,627 39,130,882 19,565,441 58,696,324 29,348,162 14,674,081 44,022,244 22,011,122 11,005,561 33,016,684 16,508,342 8,254,171 24,762,514 12,381,257 37,143,772 18,571,886 9,285,943 27,857,830 13,928,915 41,786,746 20,893,373 62,680,120 31,340,060 15,670,030 7,835,015 23,505,046 11,752,523 35,257,570 17,628,785 52,886,356 26,443,178 13,221,589 39,664,768 19,832,384 9,916,192 4,958,096 2,479,048 1,239,524 619,762 309,881 929,644 464,822 232,411 697,234 348,617 1,045,852 522,926 261,463 784,390 392,195 1,176,586 588,293 1,764,880 882,440 441,220 220,610

More profiles

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