λ
Harmonic Matrix

187,718

2 × 47 × 1997
Deficient Even Composite

187,718 has digital root 5. The neighboring primes are 187711 and 187721; its proper-divisor sum differs from the starting integer by -87,724.

Prime Factor Structure

Factorization String 2 × 47 × 1997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 287,712
Proper Divisor Sum 99,994
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #187711 ← → #187721

Radix Representation

Decimal 187718
Binary 101101110101000110 (18 bits)
Octal 0o556506
Hexadecimal 0x2DD46

Divisor Catalog (8)

1 2 47 94 1,997 3,994 93,859 187,718

Collatz Trajectory (108 steps to reach 1)

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

187,718 93,859 281,578 140,789 422,368 211,184 105,592 52,796 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148

More profiles

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