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Atlas › Integer Profiles › Node 21,393,086

21,393,086

2 × 11 × 13 × 131 × 571
Deficient Even Composite

21,393,086 factors as 2 × 11 × 13 × 131 × 571. Its 32 positive divisors give a proper-divisor sum of 16,660,930, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 131 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 38,054,016
Proper Divisor Sum 16,660,930
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #21393083 ← → #21393091

Radix Representation

Decimal 21393086
Binary 1010001100110111010111110 (25 bits)
Octal 0o121467276
Hexadecimal 0x1466EBE

Divisor Catalog (32)

1 2 11 13 22 26 131 143 262 286 571 1,142 1,441 1,703 2,882 3,406 6,281 7,423 12,562 14,846 18,733 37,466 74,801 81,653 149,602 163,306 822,811 972,413 1,645,622 1,944,826 10,696,543 21,393,086

Collatz Trajectory (71 steps to reach 1)

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

21,393,086 10,696,543 32,089,630 16,044,815 48,134,446 24,067,223 72,201,670 36,100,835 108,302,506 54,151,253 162,453,760 81,226,880 40,613,440 20,306,720 10,153,360 5,076,680 2,538,340 1,269,170 634,585 1,903,756 951,878 475,939 1,427,818 713,909 2,141,728 1,070,864 535,432 267,716 133,858 66,929 200,788 100,394 50,197 150,592 75,296 37,648 18,824 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106

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