97,958

2 × 7 × 6997

97,958 is even and not a perfect square. Its factorization is 2 × 7 × 6997 and its 8 divisors sum to 167,952.

Prime Factor Structure

Factorization String 2 × 7 × 6997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 167,952

Proper Divisor Sum 69,994

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #97943 ← → #97961

Radix Representation

Decimal	97958
Binary	10111111010100110 (17 bits)
Octal	0o277246
Hexadecimal	0x17EA6

Divisor Catalog (8)

1 2 7 14 6,997 13,994 48,979 97,958

Collatz Trajectory (128 steps to reach 1)

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

97,958 48,979 146,938 73,469 220,408 110,204 55,102 27,551 82,654 41,327 123,982 61,991 185,974 92,987 278,962 139,481 418,444 209,222 104,611 313,834 156,917 470,752 235,376 117,688 58,844 29,422 14,711 44,134 22,067 66,202 33,101 99,304 49,652 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376

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