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Atlas › Integer Profiles › Node 9,712,923

9,712,923

3 × 11 × 23 × 67 × 191
Deficient Odd Composite

9,712,923 factors as 3 × 11 × 23 × 67 × 191. Its 32 positive divisors give a proper-divisor sum of 5,327,589, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 11 × 23 × 67 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,040,512
Proper Divisor Sum 5,327,589
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9712921 ← → #9712931

Radix Representation

Decimal 9712923
Binary 100101000011010100011011 (24 bits)
Octal 0o45032433
Hexadecimal 0x94351B

Divisor Catalog (32)

1 3 11 23 33 67 69 191 201 253 573 737 759 1,541 2,101 2,211 4,393 4,623 6,303 12,797 13,179 16,951 38,391 48,323 50,853 140,767 144,969 294,331 422,301 882,993 3,237,641 9,712,923

Collatz Trajectory (199 steps to reach 1)

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

9,712,923 29,138,770 14,569,385 43,708,156 21,854,078 10,927,039 32,781,118 16,390,559 49,171,678 24,585,839 73,757,518 36,878,759 110,636,278 55,318,139 165,954,418 82,977,209 248,931,628 124,465,814 62,232,907 186,698,722 93,349,361 280,048,084 140,024,042 70,012,021 210,036,064 105,018,032 52,509,016 26,254,508 13,127,254 6,563,627 19,690,882 9,845,441 29,536,324 14,768,162 7,384,081 22,152,244 11,076,122 5,538,061 16,614,184 8,307,092 4,153,546 2,076,773 6,230,320 3,115,160 1,557,580 778,790 389,395 1,168,186 584,093 1,752,280 876,140 438,070 219,035 657,106 328,553 985,660 492,830 246,415 739,246 369,623

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