λ
Sigma Notebook

7,006,263

3 × 112 × 19301
Deficient Odd Composite

7,006,263 is odd and not a perfect square. Its factorization is 3 × 11^2 × 19301 and its 12 divisors sum to 10,268,664.

Prime Factor Structure

Factorization String 3 × 11^2 × 19301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,268,664
Proper Divisor Sum 3,262,401
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7006247 ← → #7006289

Radix Representation

Decimal 7006263
Binary 11010101110100000110111 (23 bits)
Octal 0o32564067
Hexadecimal 0x6AE837

Divisor Catalog (12)

1 3 11 33 121 363 19,301 57,903 212,311 636,933 2,335,421 7,006,263

Collatz Trajectory (253 steps to reach 1)

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

7,006,263 21,018,790 10,509,395 31,528,186 15,764,093 47,292,280 23,646,140 11,823,070 5,911,535 17,734,606 8,867,303 26,601,910 13,300,955 39,902,866 19,951,433 59,854,300 29,927,150 14,963,575 44,890,726 22,445,363 67,336,090 33,668,045 101,004,136 50,502,068 25,251,034 12,625,517 37,876,552 18,938,276 9,469,138 4,734,569 14,203,708 7,101,854 3,550,927 10,652,782 5,326,391 15,979,174 7,989,587 23,968,762 11,984,381 35,953,144 17,976,572 8,988,286 4,494,143 13,482,430 6,741,215 20,223,646 10,111,823 30,335,470 15,167,735 45,503,206 22,751,603 68,254,810 34,127,405 102,382,216 51,191,108 25,595,554 12,797,777 38,393,332 19,196,666 9,598,333

More profiles

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