126,979

43 × 2953

126,979 factors as 43 × 2953. Its 4 positive divisors give a proper-divisor sum of 2,997, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 43 × 2953

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 129,976

Proper Divisor Sum 2,997

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #126967 ← → #126989

Radix Representation

Decimal	126979
Binary	11111000000000011 (17 bits)
Octal	0o370003
Hexadecimal	0x1F003

Divisor Catalog (4)

1 43 2,953 126,979

Collatz Trajectory (131 steps to reach 1)

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

126,979 380,938 190,469 571,408 285,704 142,852 71,426 35,713 107,140 53,570 26,785 80,356 40,178 20,089 60,268 30,134 15,067 45,202 22,601 67,804 33,902 16,951 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002

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