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Atlas › Integer Profiles › Node 1,289,412

1,289,412

22 × 33 × 11939
Abundant Even Composite

1,289,412 factors as 2^2 × 3^3 × 11939. Its 24 positive divisors give a proper-divisor sum of 2,053,788, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11939
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,343,200
Proper Divisor Sum 2,053,788
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1289411 ← → #1289423

Radix Representation

Decimal 1289412
Binary 100111010110011000100 (21 bits)
Octal 0o4726304
Hexadecimal 0x13ACC4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 11,939 23,878 35,817 47,756 71,634 107,451 143,268 214,902 322,353 429,804 644,706 1,289,412

Collatz Trajectory (98 steps to reach 1)

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

1,289,412 644,706 322,353 967,060 483,530 241,765 725,296 362,648 181,324 90,662 45,331 135,994 67,997 203,992 101,996 50,998 25,499 76,498 38,249 114,748 57,374 28,687 86,062 43,031 129,094 64,547 193,642 96,821 290,464 145,232 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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