λ
Sigma Notebook

2,730,147

3 × 7 × 29 × 4483
Deficient Odd Composite

2,730,147 is odd and not a perfect square. Its factorization is 3 × 7 × 29 × 4483 and its 16 divisors sum to 4,304,640.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 4483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,304,640
Proper Divisor Sum 1,574,493
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2730121 ← → #2730157

Radix Representation

Decimal 2730147
Binary 1010011010100010100011 (22 bits)
Octal 0o12324243
Hexadecimal 0x29A8A3

Divisor Catalog (16)

1 3 7 21 29 87 203 609 4,483 13,449 31,381 94,143 130,007 390,021 910,049 2,730,147

Collatz Trajectory (107 steps to reach 1)

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

2,730,147 8,190,442 4,095,221 12,285,664 6,142,832 3,071,416 1,535,708 767,854 383,927 1,151,782 575,891 1,727,674 863,837 2,591,512 1,295,756 647,878 323,939 971,818 485,909 1,457,728 728,864 364,432 182,216 91,108 45,554 22,777 68,332 34,166 17,083 51,250 25,625 76,876 38,438 19,219 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888

More profiles

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