17,997

3 × 7 × 857

For 17,997, the 8 positive divisors have a total of 27,456. Removing 17,997 leaves 9,459, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 27,456

Proper Divisor Sum 9,459

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #17989 ← → #18013

Radix Representation

Decimal	17997
Binary	100011001001101 (15 bits)
Octal	0o43115
Hexadecimal	0x464D

Divisor Catalog (8)

1 3 7 21 857 2,571 5,999 17,997

Collatz Trajectory (48 steps to reach 1)

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

17,997 53,992 26,996 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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