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Atlas › Integer Profiles › Node 1,194,165

1,194,165

32 × 5 × 7 × 17 × 223
Abundant Odd Composite

1,194,165 factors as 3^2 × 5 × 7 × 17 × 223. Its 48 positive divisors give a proper-divisor sum of 1,321,803, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 17 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,515,968
Proper Divisor Sum 1,321,803
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1194163 ← → #1194203

Radix Representation

Decimal 1194165
Binary 100100011100010110101 (21 bits)
Octal 0o4434265
Hexadecimal 0x1238B5

Divisor Catalog (48)

1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 223 255 315 357 595 669 765 1,071 1,115 1,561 1,785 2,007 3,345 3,791 4,683 5,355 7,805 10,035 11,373 14,049 18,955 23,415 26,537 34,119 56,865 70,245 79,611 132,685 170,595 238,833 398,055 1,194,165

Collatz Trajectory (98 steps to reach 1)

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

1,194,165 3,582,496 1,791,248 895,624 447,812 223,906 111,953 335,860 167,930 83,965 251,896 125,948 62,974 31,487 94,462 47,231 141,694 70,847 212,542 106,271 318,814 159,407 478,222 239,111 717,334 358,667 1,076,002 538,001 1,614,004 807,002 403,501 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576

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