λ
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Atlas › Integer Profiles › Node 21,611,420

21,611,420

22 × 5 × 172 × 3739
Abundant Even Composite

21,611,420 factors as 2^2 × 5 × 17^2 × 3739. Its 36 positive divisors give a proper-divisor sum of 26,612,140, so this integer is abundant. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17^2 × 3739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 48,223,560
Proper Divisor Sum 26,612,140
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #21611411 ← → #21611461

Radix Representation

Decimal 21611420
Binary 1010010011100001110011100 (25 bits)
Octal 0o122341634
Hexadecimal 0x149C39C

Divisor Catalog (36)

1 2 4 5 10 17 20 34 68 85 170 289 340 578 1,156 1,445 2,890 3,739 5,780 7,478 14,956 18,695 37,390 63,563 74,780 127,126 254,252 317,815 635,630 1,080,571 1,271,260 2,161,142 4,322,284 5,402,855 10,805,710 21,611,420

Collatz Trajectory (265 steps to reach 1)

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

21,611,420 10,805,710 5,402,855 16,208,566 8,104,283 24,312,850 12,156,425 36,469,276 18,234,638 9,117,319 27,351,958 13,675,979 41,027,938 20,513,969 61,541,908 30,770,954 15,385,477 46,156,432 23,078,216 11,539,108 5,769,554 2,884,777 8,654,332 4,327,166 2,163,583 6,490,750 3,245,375 9,736,126 4,868,063 14,604,190 7,302,095 21,906,286 10,953,143 32,859,430 16,429,715 49,289,146 24,644,573 73,933,720 36,966,860 18,483,430 9,241,715 27,725,146 13,862,573 41,587,720 20,793,860 10,396,930 5,198,465 15,595,396 7,797,698 3,898,849 11,696,548 5,848,274 2,924,137 8,772,412 4,386,206 2,193,103 6,579,310 3,289,655 9,868,966 4,934,483

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