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Atlas › Integer Profiles › Node 16,736,733

16,736,733

33 × 13 × 41 × 1163
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 13 × 41 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,377,280
Proper Divisor Sum 10,640,547
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #16736669 ← → #16736737

Radix Representation

Decimal 16736733
Binary 111111110110000111011101 (24 bits)
Octal 0o77660735
Hexadecimal 0xFF61DD

Divisor Catalog (32)

1 3 9 13 27 39 41 117 123 351 369 533 1,107 1,163 1,599 3,489 4,797 10,467 14,391 15,119 31,401 45,357 47,683 136,071 143,049 408,213 429,147 619,879 1,287,441 1,859,637 5,578,911 16,736,733

Collatz Trajectory (262 steps to reach 1)

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

16,736,733 50,210,200 25,105,100 12,552,550 6,276,275 18,828,826 9,414,413 28,243,240 14,121,620 7,060,810 3,530,405 10,591,216 5,295,608 2,647,804 1,323,902 661,951 1,985,854 992,927 2,978,782 1,489,391 4,468,174 2,234,087 6,702,262 3,351,131 10,053,394 5,026,697 15,080,092 7,540,046 3,770,023 11,310,070 5,655,035 16,965,106 8,482,553 25,447,660 12,723,830 6,361,915 19,085,746 9,542,873 28,628,620 14,314,310 7,157,155 21,471,466 10,735,733 32,207,200 16,103,600 8,051,800 4,025,900 2,012,950 1,006,475 3,019,426 1,509,713 4,529,140 2,264,570 1,132,285 3,396,856 1,698,428 849,214 424,607 1,273,822 636,911

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