λ
Harmonic Matrix

4,102,887

3 × 1061 × 1289
Deficient Odd Composite

4,102,887 has digital root 3. The neighboring primes are 4102883 and 4102907; its proper-divisor sum differs from the starting integer by -2,725,854.

Prime Factor Structure

Factorization String 3 × 1061 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,479,920
Proper Divisor Sum 1,377,033
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4102883 ← → #4102907

Radix Representation

Decimal 4102887
Binary 1111101001101011100111 (22 bits)
Octal 0o17515347
Hexadecimal 0x3E9AE7

Divisor Catalog (8)

1 3 1,061 1,289 3,183 3,867 1,367,629 4,102,887

Collatz Trajectory (216 steps to reach 1)

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

4,102,887 12,308,662 6,154,331 18,462,994 9,231,497 27,694,492 13,847,246 6,923,623 20,770,870 10,385,435 31,156,306 15,578,153 46,734,460 23,367,230 11,683,615 35,050,846 17,525,423 52,576,270 26,288,135 78,864,406 39,432,203 118,296,610 59,148,305 177,444,916 88,722,458 44,361,229 133,083,688 66,541,844 33,270,922 16,635,461 49,906,384 24,953,192 12,476,596 6,238,298 3,119,149 9,357,448 4,678,724 2,339,362 1,169,681 3,509,044 1,754,522 877,261 2,631,784 1,315,892 657,946 328,973 986,920 493,460 246,730 123,365 370,096 185,048 92,524 46,262 23,131 69,394 34,697 104,092 52,046 26,023

More profiles

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