97,006

2 × 7 × 13² × 41

97,006 has the prime decomposition 2 × 7 × 13^2 × 41. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 184,464

Proper Divisor Sum 87,458

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #97003 ← → #97007

Radix Representation

Decimal	97006
Binary	10111101011101110 (17 bits)
Octal	0o275356
Hexadecimal	0x17AEE

Divisor Catalog (24)

1 2 7 13 14 26 41 82 91 169 182 287 338 533 574 1,066 1,183 2,366 3,731 6,929 7,462 13,858 48,503 97,006

Collatz Trajectory (71 steps to reach 1)

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

97,006 48,503 145,510 72,755 218,266 109,133 327,400 163,700 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106

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