λ
Harmonic Matrix

6,957,138

2 × 3 × 1159523
Abundant Even Composite

6,957,138 has digital root 3. The neighboring primes are 6957133 and 6957149; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1159523
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,914,288
Proper Divisor Sum 6,957,150
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6957133 ← → #6957149

Radix Representation

Decimal 6957138
Binary 11010100010100001010010 (23 bits)
Octal 0o32424122
Hexadecimal 0x6A2852

Divisor Catalog (8)

1 2 3 6 1,159,523 2,319,046 3,478,569 6,957,138

Collatz Trajectory (253 steps to reach 1)

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

6,957,138 3,478,569 10,435,708 5,217,854 2,608,927 7,826,782 3,913,391 11,740,174 5,870,087 17,610,262 8,805,131 26,415,394 13,207,697 39,623,092 19,811,546 9,905,773 29,717,320 14,858,660 7,429,330 3,714,665 11,143,996 5,571,998 2,785,999 8,357,998 4,178,999 12,536,998 6,268,499 18,805,498 9,402,749 28,208,248 14,104,124 7,052,062 3,526,031 10,578,094 5,289,047 15,867,142 7,933,571 23,800,714 11,900,357 35,701,072 17,850,536 8,925,268 4,462,634 2,231,317 6,693,952 3,346,976 1,673,488 836,744 418,372 209,186 104,593 313,780 156,890 78,445 235,336 117,668 58,834 29,417 88,252 44,126

More profiles

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