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Atlas › Integer Profiles › Node 9,155,068

9,155,068

22 × 132 × 29 × 467
Deficient Even Composite

9,155,068 factors as 2^2 × 13^2 × 29 × 467. Its 36 positive divisors give a proper-divisor sum of 8,830,172, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 29 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,985,240
Proper Divisor Sum 8,830,172
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9155057 ← → #9155077

Radix Representation

Decimal 9155068
Binary 100010111011000111111100 (24 bits)
Octal 0o42730774
Hexadecimal 0x8BB1FC

Divisor Catalog (36)

1 2 4 13 26 29 52 58 116 169 338 377 467 676 754 934 1,508 1,868 4,901 6,071 9,802 12,142 13,543 19,604 24,284 27,086 54,172 78,923 157,846 176,059 315,692 352,118 704,236 2,288,767 4,577,534 9,155,068

Collatz Trajectory (256 steps to reach 1)

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

9,155,068 4,577,534 2,288,767 6,866,302 3,433,151 10,299,454 5,149,727 15,449,182 7,724,591 23,173,774 11,586,887 34,760,662 17,380,331 52,140,994 26,070,497 78,211,492 39,105,746 19,552,873 58,658,620 29,329,310 14,664,655 43,993,966 21,996,983 65,990,950 32,995,475 98,986,426 49,493,213 148,479,640 74,239,820 37,119,910 18,559,955 55,679,866 27,839,933 83,519,800 41,759,900 20,879,950 10,439,975 31,319,926 15,659,963 46,979,890 23,489,945 70,469,836 35,234,918 17,617,459 52,852,378 26,426,189 79,278,568 39,639,284 19,819,642 9,909,821 29,729,464 14,864,732 7,432,366 3,716,183 11,148,550 5,574,275 16,722,826 8,361,413 25,084,240 12,542,120

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