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Atlas › Integer Profiles › Node 17,528,950

17,528,950

2 × 52 × 31 × 43 × 263
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 43 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,569,216
Proper Divisor Sum 17,040,266
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17528947 ← → #17528957

Radix Representation

Decimal 17528950
Binary 1000010110111100001110110 (25 bits)
Octal 0o102674166
Hexadecimal 0x10B7876

Divisor Catalog (48)

1 2 5 10 25 31 43 50 62 86 155 215 263 310 430 526 775 1,075 1,315 1,333 1,550 2,150 2,630 2,666 6,575 6,665 8,153 11,309 13,150 13,330 16,306 22,618 33,325 40,765 56,545 66,650 81,530 113,090 203,825 282,725 350,579 407,650 565,450 701,158 1,752,895 3,505,790 8,764,475 17,528,950

Collatz Trajectory (200 steps to reach 1)

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

17,528,950 8,764,475 26,293,426 13,146,713 39,440,140 19,720,070 9,860,035 29,580,106 14,790,053 44,370,160 22,185,080 11,092,540 5,546,270 2,773,135 8,319,406 4,159,703 12,479,110 6,239,555 18,718,666 9,359,333 28,078,000 14,039,000 7,019,500 3,509,750 1,754,875 5,264,626 2,632,313 7,896,940 3,948,470 1,974,235 5,922,706 2,961,353 8,884,060 4,442,030 2,221,015 6,663,046 3,331,523 9,994,570 4,997,285 14,991,856 7,495,928 3,747,964 1,873,982 936,991 2,810,974 1,405,487 4,216,462 2,108,231 6,324,694 3,162,347 9,487,042 4,743,521 14,230,564 7,115,282 3,557,641 10,672,924 5,336,462 2,668,231 8,004,694 4,002,347

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