4,496,723

7 × 11² × 5309

Prime Factor Structure

Factorization String 7 × 11^2 × 5309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,649,840

Proper Divisor Sum 1,153,117

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4496717 ← → #4496731

Radix Representation

Decimal	4496723
Binary	10001001001110101010011 (23 bits)
Octal	0o21116523
Hexadecimal	0x449D53

Divisor Catalog (12)

1 7 11 77 121 847 5,309 37,163 58,399 408,793 642,389 4,496,723

Collatz Trajectory (335 steps to reach 1)

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

4,496,723 13,490,170 6,745,085 20,235,256 10,117,628 5,058,814 2,529,407 7,588,222 3,794,111 11,382,334 5,691,167 17,073,502 8,536,751 25,610,254 12,805,127 38,415,382 19,207,691 57,623,074 28,811,537 86,434,612 43,217,306 21,608,653 64,825,960 32,412,980 16,206,490 8,103,245 24,309,736 12,154,868 6,077,434 3,038,717 9,116,152 4,558,076 2,279,038 1,139,519 3,418,558 1,709,279 5,127,838 2,563,919 7,691,758 3,845,879 11,537,638 5,768,819 17,306,458 8,653,229 25,959,688 12,979,844 6,489,922 3,244,961 9,734,884 4,867,442 2,433,721 7,301,164 3,650,582 1,825,291 5,475,874 2,737,937 8,213,812 4,106,906 2,053,453 6,160,360

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