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Atlas › Integer Profiles › Node 5,961,852

5,961,852

22 × 32 × 13 × 12739
Abundant Even Composite

5,961,852 factors as 2^2 × 3^2 × 13 × 12739. Its 36 positive divisors give a proper-divisor sum of 10,268,908, so this integer is abundant. The Collatz stopping time is 351 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 12739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,230,760
Proper Divisor Sum 10,268,908
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5961833 ← → #5961859

Radix Representation

Decimal 5961852
Binary 10110101111100001111100 (23 bits)
Octal 0o26574174
Hexadecimal 0x5AF87C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 12,739 25,478 38,217 50,956 76,434 114,651 152,868 165,607 229,302 331,214 458,604 496,821 662,428 993,642 1,490,463 1,987,284 2,980,926 5,961,852

Collatz Trajectory (351 steps to reach 1)

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

5,961,852 2,980,926 1,490,463 4,471,390 2,235,695 6,707,086 3,353,543 10,060,630 5,030,315 15,090,946 7,545,473 22,636,420 11,318,210 5,659,105 16,977,316 8,488,658 4,244,329 12,732,988 6,366,494 3,183,247 9,549,742 4,774,871 14,324,614 7,162,307 21,486,922 10,743,461 32,230,384 16,115,192 8,057,596 4,028,798 2,014,399 6,043,198 3,021,599 9,064,798 4,532,399 13,597,198 6,798,599 20,395,798 10,197,899 30,593,698 15,296,849 45,890,548 22,945,274 11,472,637 34,417,912 17,208,956 8,604,478 4,302,239 12,906,718 6,453,359 19,360,078 9,680,039 29,040,118 14,520,059 43,560,178 21,780,089 65,340,268 32,670,134 16,335,067 49,005,202

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