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Atlas › Integer Profiles › Node 13,623,918

13,623,918

2 × 3 × 7 × 11 × 37 × 797
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 37 × 797
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 34,933,248
Proper Divisor Sum 21,309,330
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #13623901 ← → #13623943

Radix Representation

Decimal 13623918
Binary 110011111110001001101110 (24 bits)
Octal 0o63761156
Hexadecimal 0xCFE26E

Divisor Catalog (60 of 64)

1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 222 231 259 407 462 518 777 797 814 1,221 1,554 1,594 2,391 2,442 2,849 4,782 5,579 5,698 8,547 8,767 11,158 16,737 17,094 17,534 26,301 29,489 33,474 52,602 58,978 61,369 88,467 122,738 176,934 184,107 206,423 324,379 368,214 412,846 619,269 648,758 973,137 1,238,538 1,946,274

Collatz Trajectory (241 steps to reach 1)

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

13,623,918 6,811,959 20,435,878 10,217,939 30,653,818 15,326,909 45,980,728 22,990,364 11,495,182 5,747,591 17,242,774 8,621,387 25,864,162 12,932,081 38,796,244 19,398,122 9,699,061 29,097,184 14,548,592 7,274,296 3,637,148 1,818,574 909,287 2,727,862 1,363,931 4,091,794 2,045,897 6,137,692 3,068,846 1,534,423 4,603,270 2,301,635 6,904,906 3,452,453 10,357,360 5,178,680 2,589,340 1,294,670 647,335 1,942,006 971,003 2,913,010 1,456,505 4,369,516 2,184,758 1,092,379 3,277,138 1,638,569 4,915,708 2,457,854 1,228,927 3,686,782 1,843,391 5,530,174 2,765,087 8,295,262 4,147,631 12,442,894 6,221,447 18,664,342

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