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Atlas › Integer Profiles › Node 6,252,939

6,252,939

32 × 72 × 11 × 1289
Deficient Odd Composite

6,252,939 factors as 3^2 × 7^2 × 11 × 1289. Its 36 positive divisors give a proper-divisor sum of 5,217,741, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 1289
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,470,680
Proper Divisor Sum 5,217,741
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6252937 ← → #6252943

Radix Representation

Decimal 6252939
Binary 10111110110100110001011 (23 bits)
Octal 0o27664613
Hexadecimal 0x5F698B

Divisor Catalog (36)

1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1,289 1,617 3,867 4,851 9,023 11,601 14,179 27,069 42,537 63,161 81,207 99,253 127,611 189,483 297,759 568,449 694,771 893,277 2,084,313 6,252,939

Collatz Trajectory (134 steps to reach 1)

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

6,252,939 18,758,818 9,379,409 28,138,228 14,069,114 7,034,557 21,103,672 10,551,836 5,275,918 2,637,959 7,913,878 3,956,939 11,870,818 5,935,409 17,806,228 8,903,114 4,451,557 13,354,672 6,677,336 3,338,668 1,669,334 834,667 2,504,002 1,252,001 3,756,004 1,878,002 939,001 2,817,004 1,408,502 704,251 2,112,754 1,056,377 3,169,132 1,584,566 792,283 2,376,850 1,188,425 3,565,276 1,782,638 891,319 2,673,958 1,336,979 4,010,938 2,005,469 6,016,408 3,008,204 1,504,102 752,051 2,256,154 1,128,077 3,384,232 1,692,116 846,058 423,029 1,269,088 634,544 317,272 158,636 79,318 39,659

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