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Atlas › Integer Profiles › Node 23,948,838

23,948,838

2 × 33 × 29 × 41 × 373
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 41 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 56,548,800
Proper Divisor Sum 32,599,962
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #23948777 ← → #23948851

Radix Representation

Decimal 23948838
Binary 1011011010110111000100110 (25 bits)
Octal 0o133267046
Hexadecimal 0x16D6E26

Divisor Catalog (60 of 64)

1 2 3 6 9 18 27 29 41 54 58 82 87 123 174 246 261 369 373 522 738 746 783 1,107 1,119 1,189 1,566 2,214 2,238 2,378 3,357 3,567 6,714 7,134 10,071 10,701 10,817 15,293 20,142 21,402 21,634 30,586 32,103 32,451 45,879 64,206 64,902 91,758 97,353 137,637 194,706 275,274 292,059 412,911 443,497 584,118 825,822 886,994 1,330,491 2,660,982

Collatz Trajectory (115 steps to reach 1)

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

23,948,838 11,974,419 35,923,258 17,961,629 53,884,888 26,942,444 13,471,222 6,735,611 20,206,834 10,103,417 30,310,252 15,155,126 7,577,563 22,732,690 11,366,345 34,099,036 17,049,518 8,524,759 25,574,278 12,787,139 38,361,418 19,180,709 57,542,128 28,771,064 14,385,532 7,192,766 3,596,383 10,789,150 5,394,575 16,183,726 8,091,863 24,275,590 12,137,795 36,413,386 18,206,693 54,620,080 27,310,040 13,655,020 6,827,510 3,413,755 10,241,266 5,120,633 15,361,900 7,680,950 3,840,475 11,521,426 5,760,713 17,282,140 8,641,070 4,320,535 12,961,606 6,480,803 19,442,410 9,721,205 29,163,616 14,581,808 7,290,904 3,645,452 1,822,726 911,363

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