5,988,177

3² × 13² × 31 × 127

5,988,177 is odd and not a perfect square. Its factorization is 3^2 × 13^2 × 31 × 127 and its 36 divisors sum to 9,744,384.

Prime Factor Structure

Factorization String 3^2 × 13^2 × 31 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,744,384

Proper Divisor Sum 3,756,207

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5988167 ← → #5988193

Radix Representation

Decimal	5988177
Binary	10110110101111101010001 (23 bits)
Octal	0o26657521
Hexadecimal	0x5B5F51

Divisor Catalog (36)

1 3 9 13 31 39 93 117 127 169 279 381 403 507 1,143 1,209 1,521 1,651 3,627 3,937 4,953 5,239 11,811 14,859 15,717 21,463 35,433 47,151 51,181 64,389 153,543 193,167 460,629 665,353 1,996,059 5,988,177

Collatz Trajectory (139 steps to reach 1)

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

5,988,177 17,964,532 8,982,266 4,491,133 13,473,400 6,736,700 3,368,350 1,684,175 5,052,526 2,526,263 7,578,790 3,789,395 11,368,186 5,684,093 17,052,280 8,526,140 4,263,070 2,131,535 6,394,606 3,197,303 9,591,910 4,795,955 14,387,866 7,193,933 21,581,800 10,790,900 5,395,450 2,697,725 8,093,176 4,046,588 2,023,294 1,011,647 3,034,942 1,517,471 4,552,414 2,276,207 6,828,622 3,414,311 10,242,934 5,121,467 15,364,402 7,682,201 23,046,604 11,523,302 5,761,651 17,284,954 8,642,477 25,927,432 12,963,716 6,481,858 3,240,929 9,722,788 4,861,394 2,430,697 7,292,092 3,646,046 1,823,023 5,469,070 2,734,535 8,203,606

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