164,997

3⁵ × 7 × 97

164,997 factors as 3^5 × 7 × 97. Its 24 positive divisors give a proper-divisor sum of 120,379, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 97

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 285,376

Proper Divisor Sum 120,379

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #164987 ← → #164999

Radix Representation

Decimal	164997
Binary	101000010010000101 (18 bits)
Octal	0o502205
Hexadecimal	0x28485

Divisor Catalog (24)

1 3 7 9 21 27 63 81 97 189 243 291 567 679 873 1,701 2,037 2,619 6,111 7,857 18,333 23,571 54,999 164,997

Collatz Trajectory (90 steps to reach 1)

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

164,997 494,992 247,496 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048

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