2,752,629

3 × 11² × 7583

2,752,629 is odd and not a perfect square. Its factorization is 3 × 11^2 × 7583 and its 12 divisors sum to 4,034,688.

Prime Factor Structure

Factorization String 3 × 11^2 × 7583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,034,688

Proper Divisor Sum 1,282,059

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2752619 ← → #2752637

Radix Representation

Decimal	2752629
Binary	1010100000000001110101 (22 bits)
Octal	0o12400165
Hexadecimal	0x2A0075

Divisor Catalog (12)

1 3 11 33 121 363 7,583 22,749 83,413 250,239 917,543 2,752,629

Collatz Trajectory (107 steps to reach 1)

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

2,752,629 8,257,888 4,128,944 2,064,472 1,032,236 516,118 258,059 774,178 387,089 1,161,268 580,634 290,317 870,952 435,476 217,738 108,869 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494

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