λ
Sigma Notebook

6,722,745

3 × 5 × 127 × 3529
Deficient Odd Composite

6,722,745 is odd and not a perfect square. Its factorization is 3 × 5 × 127 × 3529 and its 16 divisors sum to 10,844,160.

Prime Factor Structure

Factorization String 3 × 5 × 127 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,844,160
Proper Divisor Sum 4,121,415
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6722743 ← → #6722747

Radix Representation

Decimal 6722745
Binary 11001101001010010111001 (23 bits)
Octal 0o31512271
Hexadecimal 0x6694B9

Divisor Catalog (16)

1 3 5 15 127 381 635 1,905 3,529 10,587 17,645 52,935 448,183 1,344,549 2,240,915 6,722,745

Collatz Trajectory (116 steps to reach 1)

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

6,722,745 20,168,236 10,084,118 5,042,059 15,126,178 7,563,089 22,689,268 11,344,634 5,672,317 17,016,952 8,508,476 4,254,238 2,127,119 6,381,358 3,190,679 9,572,038 4,786,019 14,358,058 7,179,029 21,537,088 10,768,544 5,384,272 2,692,136 1,346,068 673,034 336,517 1,009,552 504,776 252,388 126,194 63,097 189,292 94,646 47,323 141,970 70,985 212,956 106,478 53,239 159,718 79,859 239,578 119,789 359,368 179,684 89,842 44,921 134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850

More profiles

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