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Atlas › Integer Profiles › Node 9,708,765

9,708,765

3 × 5 × 11 × 29 × 2029
Deficient Odd Composite

9,708,765 factors as 3 × 5 × 11 × 29 × 2029. Its 32 positive divisors give a proper-divisor sum of 7,830,435, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 29 × 2029
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,539,200
Proper Divisor Sum 7,830,435
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9708757 ← → #9708767

Radix Representation

Decimal 9708765
Binary 100101000010010011011101 (24 bits)
Octal 0o45022335
Hexadecimal 0x9424DD

Divisor Catalog (32)

1 3 5 11 15 29 33 55 87 145 165 319 435 957 1,595 2,029 4,785 6,087 10,145 22,319 30,435 58,841 66,957 111,595 176,523 294,205 334,785 647,251 882,615 1,941,753 3,236,255 9,708,765

Collatz Trajectory (269 steps to reach 1)

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

9,708,765 29,126,296 14,563,148 7,281,574 3,640,787 10,922,362 5,461,181 16,383,544 8,191,772 4,095,886 2,047,943 6,143,830 3,071,915 9,215,746 4,607,873 13,823,620 6,911,810 3,455,905 10,367,716 5,183,858 2,591,929 7,775,788 3,887,894 1,943,947 5,831,842 2,915,921 8,747,764 4,373,882 2,186,941 6,560,824 3,280,412 1,640,206 820,103 2,460,310 1,230,155 3,690,466 1,845,233 5,535,700 2,767,850 1,383,925 4,151,776 2,075,888 1,037,944 518,972 259,486 129,743 389,230 194,615 583,846 291,923 875,770 437,885 1,313,656 656,828 328,414 164,207 492,622 246,311 738,934 369,467

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