λ
Harmonic Matrix

108,087

3 × 7 × 5147
Deficient Odd Composite

108,087 has digital root 6. The neighboring primes are 108079 and 108089; its proper-divisor sum differs from the starting integer by -51,438.

Prime Factor Structure

Factorization String 3 × 7 × 5147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 164,736
Proper Divisor Sum 56,649
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #108079 ← → #108089

Radix Representation

Decimal 108087
Binary 11010011000110111 (17 bits)
Octal 0o323067
Hexadecimal 0x1A637

Divisor Catalog (8)

1 3 7 21 5,147 15,441 36,029 108,087

Collatz Trajectory (216 steps to reach 1)

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

108,087 324,262 162,131 486,394 243,197 729,592 364,796 182,398 91,199 273,598 136,799 410,398 205,199 615,598 307,799 923,398 461,699 1,385,098 692,549 2,077,648 1,038,824 519,412 259,706 129,853 389,560 194,780 97,390 48,695 146,086 73,043 219,130 109,565 328,696 164,348 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011 936,034 468,017 1,404,052 702,026 351,013 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085

More profiles

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