λ
Sigma Notebook

2,747,493

33 × 7 × 14537
Deficient Odd Composite

2,747,493 is odd and not a perfect square. Its factorization is 3^3 × 7 × 14537 and its 16 divisors sum to 4,652,160.

Prime Factor Structure

Factorization String 3^3 × 7 × 14537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,652,160
Proper Divisor Sum 1,904,667
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2747491 ← → #2747497

Radix Representation

Decimal 2747493
Binary 1010011110110001100101 (22 bits)
Octal 0o12366145
Hexadecimal 0x29EC65

Divisor Catalog (16)

1 3 7 9 21 27 63 189 14,537 43,611 101,759 130,833 305,277 392,499 915,831 2,747,493

Collatz Trajectory (107 steps to reach 1)

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

2,747,493 8,242,480 4,121,240 2,060,620 1,030,310 515,155 1,545,466 772,733 2,318,200 1,159,100 579,550 289,775 869,326 434,663 1,303,990 651,995 1,955,986 977,993 2,933,980 1,466,990 733,495 2,200,486 1,100,243 3,300,730 1,650,365 4,951,096 2,475,548 1,237,774 618,887 1,856,662 928,331 2,784,994 1,392,497 4,177,492 2,088,746 1,044,373 3,133,120 1,566,560 783,280 391,640 195,820 97,910 48,955 146,866 73,433 220,300 110,150 55,075 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428

More profiles

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