λ
Sigma Notebook

6,217,948

22 × 112 × 29 × 443
Deficient Even Composite

6,217,948 is even and not a perfect square. Its factorization is 2^2 × 11^2 × 29 × 443 and its 36 divisors sum to 12,400,920.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 29 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,400,920
Proper Divisor Sum 6,182,972
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6217943 ← → #6217963

Radix Representation

Decimal 6217948
Binary 10111101110000011011100 (23 bits)
Octal 0o27560334
Hexadecimal 0x5EE0DC

Divisor Catalog (36)

1 2 4 11 22 29 44 58 116 121 242 319 443 484 638 886 1,276 1,772 3,509 4,873 7,018 9,746 12,847 14,036 19,492 25,694 51,388 53,603 107,206 141,317 214,412 282,634 565,268 1,554,487 3,108,974 6,217,948

Collatz Trajectory (134 steps to reach 1)

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

6,217,948 3,108,974 1,554,487 4,663,462 2,331,731 6,995,194 3,497,597 10,492,792 5,246,396 2,623,198 1,311,599 3,934,798 1,967,399 5,902,198 2,951,099 8,853,298 4,426,649 13,279,948 6,639,974 3,319,987 9,959,962 4,979,981 14,939,944 7,469,972 3,734,986 1,867,493 5,602,480 2,801,240 1,400,620 700,310 350,155 1,050,466 525,233 1,575,700 787,850 393,925 1,181,776 590,888 295,444 147,722 73,861 221,584 110,792 55,396 27,698 13,849 41,548 20,774 10,387 31,162 15,581 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574

More profiles

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