λ
Zalai Atlas

6,231,016

23 × 112 × 41 × 157
Abundant Even Composite

6,231,016 has the prime decomposition 2^3 × 11^2 × 41 × 157. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 41 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,238,820
Proper Divisor Sum 7,007,804
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #6231011 ← → #6231037

Radix Representation

Decimal 6231016
Binary 10111110001001111101000 (23 bits)
Octal 0o27611750
Hexadecimal 0x5F13E8

Divisor Catalog (48)

1 2 4 8 11 22 41 44 82 88 121 157 164 242 314 328 451 484 628 902 968 1,256 1,727 1,804 3,454 3,608 4,961 6,437 6,908 9,922 12,874 13,816 18,997 19,844 25,748 37,994 39,688 51,496 70,807 75,988 141,614 151,976 283,228 566,456 778,877 1,557,754 3,115,508 6,231,016

Collatz Trajectory (157 steps to reach 1)

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

6,231,016 3,115,508 1,557,754 778,877 2,336,632 1,168,316 584,158 292,079 876,238 438,119 1,314,358 657,179 1,971,538 985,769 2,957,308 1,478,654 739,327 2,217,982 1,108,991 3,326,974 1,663,487 4,990,462 2,495,231 7,485,694 3,742,847 11,228,542 5,614,271 16,842,814 8,421,407 25,264,222 12,632,111 37,896,334 18,948,167 56,844,502 28,422,251 85,266,754 42,633,377 127,900,132 63,950,066 31,975,033 95,925,100 47,962,550 23,981,275 71,943,826 35,971,913 107,915,740 53,957,870 26,978,935 80,936,806 40,468,403 121,405,210 60,702,605 182,107,816 91,053,908 45,526,954 22,763,477 68,290,432 34,145,216 17,072,608 8,536,304

More profiles

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