λ
Harmonic Matrix

2,608,871

17 × 19 × 41 × 197
Deficient Odd Composite

2,608,871 has digital root 5. The neighboring primes are 2608861 and 2608873; its proper-divisor sum differs from the starting integer by -2,223,982.

Prime Factor Structure

Factorization String 17 × 19 × 41 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,993,760
Proper Divisor Sum 384,889
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2608861 ← → #2608873

Radix Representation

Decimal 2608871
Binary 1001111100111011100111 (22 bits)
Octal 0o11747347
Hexadecimal 0x27CEE7

Divisor Catalog (16)

1 17 19 41 197 323 697 779 3,349 3,743 8,077 13,243 63,631 137,309 153,463 2,608,871

Collatz Trajectory (205 steps to reach 1)

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

2,608,871 7,826,614 3,913,307 11,739,922 5,869,961 17,609,884 8,804,942 4,402,471 13,207,414 6,603,707 19,811,122 9,905,561 29,716,684 14,858,342 7,429,171 22,287,514 11,143,757 33,431,272 16,715,636 8,357,818 4,178,909 12,536,728 6,268,364 3,134,182 1,567,091 4,701,274 2,350,637 7,051,912 3,525,956 1,762,978 881,489 2,644,468 1,322,234 661,117 1,983,352 991,676 495,838 247,919 743,758 371,879 1,115,638 557,819 1,673,458 836,729 2,510,188 1,255,094 627,547 1,882,642 941,321 2,823,964 1,411,982 705,991 2,117,974 1,058,987 3,176,962 1,588,481 4,765,444 2,382,722 1,191,361 3,574,084

More profiles

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