λ
Harmonic Matrix

98,171

127 × 773
Deficient Odd Composite

98,171 has digital root 8. The neighboring primes are 98143 and 98179; its proper-divisor sum differs from the starting integer by -97,270.

Prime Factor Structure

Factorization String 127 × 773
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 99,072
Proper Divisor Sum 901
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #98143 ← → #98179

Radix Representation

Decimal 98171
Binary 10111111101111011 (17 bits)
Octal 0o277573
Hexadecimal 0x17F7B

Divisor Catalog (4)

1 127 773 98,171

Collatz Trajectory (71 steps to reach 1)

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

98,171 294,514 147,257 441,772 220,886 110,443 331,330 165,665 496,996 248,498 124,249 372,748 186,374 93,187 279,562 139,781 419,344 209,672 104,836 52,418 26,209 78,628 39,314 19,657 58,972 29,486 14,743 44,230 22,115 66,346 33,173 99,520 49,760 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104

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