9,506,979

3² × 727 × 1453

9,506,979 factors as 3^2 × 727 × 1453. Its 12 positive divisors give a proper-divisor sum of 4,253,677, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3^2 × 727 × 1453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,760,656

Proper Divisor Sum 4,253,677

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9506969 ← → #9507007

Radix Representation

Decimal	9506979
Binary	100100010001000010100011 (24 bits)
Octal	0o44210243
Hexadecimal	0x9110A3

Divisor Catalog (12)

1 3 9 727 1,453 2,181 4,359 6,543 13,077 1,056,331 3,168,993 9,506,979

Collatz Trajectory (176 steps to reach 1)

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

9,506,979 28,520,938 14,260,469 42,781,408 21,390,704 10,695,352 5,347,676 2,673,838 1,336,919 4,010,758 2,005,379 6,016,138 3,008,069 9,024,208 4,512,104 2,256,052 1,128,026 564,013 1,692,040 846,020 423,010 211,505 634,516 317,258 158,629 475,888 237,944 118,972 59,486 29,743 89,230 44,615 133,846 66,923 200,770 100,385 301,156 150,578 75,289 225,868 112,934 56,467 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304

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