9,826,166

2 × 7² × 100267

9,826,166 factors as 2 × 7^2 × 100267. Its 12 positive divisors give a proper-divisor sum of 7,319,662, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 100267

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,145,828

Proper Divisor Sum 7,319,662

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9826151 ← → #9826169

Radix Representation

Decimal	9826166
Binary	100101011110111101110110 (24 bits)
Octal	0o45367566
Hexadecimal	0x95EF76

Divisor Catalog (12)

1 2 7 14 49 98 100,267 200,534 701,869 1,403,738 4,913,083 9,826,166

Collatz Trajectory (132 steps to reach 1)

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

9,826,166 4,913,083 14,739,250 7,369,625 22,108,876 11,054,438 5,527,219 16,581,658 8,290,829 24,872,488 12,436,244 6,218,122 3,109,061 9,327,184 4,663,592 2,331,796 1,165,898 582,949 1,748,848 874,424 437,212 218,606 109,303 327,910 163,955 491,866 245,933 737,800 368,900 184,450 92,225 276,676 138,338 69,169 207,508 103,754 51,877 155,632 77,816 38,908 19,454 9,727 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976

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