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Atlas › Integer Profiles › Node 9,764,172

9,764,172

22 × 33 × 11 × 8219
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 8219
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,619,200
Proper Divisor Sum 17,855,028
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9764159 ← → #9764197

Radix Representation

Decimal 9764172
Binary 100101001111110101001100 (24 bits)
Octal 0o45176514
Hexadecimal 0x94FD4C

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1,188 8,219 16,438 24,657 32,876 49,314 73,971 90,409 98,628 147,942 180,818 221,913 271,227 295,884 361,636 443,826 542,454 813,681 887,652 1,084,908 1,627,362 2,441,043 3,254,724 4,882,086 9,764,172

Collatz Trajectory (207 steps to reach 1)

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

9,764,172 4,882,086 2,441,043 7,323,130 3,661,565 10,984,696 5,492,348 2,746,174 1,373,087 4,119,262 2,059,631 6,178,894 3,089,447 9,268,342 4,634,171 13,902,514 6,951,257 20,853,772 10,426,886 5,213,443 15,640,330 7,820,165 23,460,496 11,730,248 5,865,124 2,932,562 1,466,281 4,398,844 2,199,422 1,099,711 3,299,134 1,649,567 4,948,702 2,474,351 7,423,054 3,711,527 11,134,582 5,567,291 16,701,874 8,350,937 25,052,812 12,526,406 6,263,203 18,789,610 9,394,805 28,184,416 14,092,208 7,046,104 3,523,052 1,761,526 880,763 2,642,290 1,321,145 3,963,436 1,981,718 990,859 2,972,578 1,486,289 4,458,868 2,229,434

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