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Atlas › Integer Profiles › Node 23,051,020

23,051,020

22 × 5 × 41 × 28111
Abundant Even Composite

23,051,020 factors as 2^2 × 5 × 41 × 28111. Its 24 positive divisors give a proper-divisor sum of 26,538,548, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 28111
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,589,568
Proper Divisor Sum 26,538,548
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #23051003 ← → #23051023

Radix Representation

Decimal 23051020
Binary 1010111111011101100001100 (25 bits)
Octal 0o127735414
Hexadecimal 0x15FBB0C

Divisor Catalog (24)

1 2 4 5 10 20 41 82 164 205 410 820 28,111 56,222 112,444 140,555 281,110 562,220 1,152,551 2,305,102 4,610,204 5,762,755 11,525,510 23,051,020

Collatz Trajectory (123 steps to reach 1)

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

23,051,020 11,525,510 5,762,755 17,288,266 8,644,133 25,932,400 12,966,200 6,483,100 3,241,550 1,620,775 4,862,326 2,431,163 7,293,490 3,646,745 10,940,236 5,470,118 2,735,059 8,205,178 4,102,589 12,307,768 6,153,884 3,076,942 1,538,471 4,615,414 2,307,707 6,923,122 3,461,561 10,384,684 5,192,342 2,596,171 7,788,514 3,894,257 11,682,772 5,841,386 2,920,693 8,762,080 4,381,040 2,190,520 1,095,260 547,630 273,815 821,446 410,723 1,232,170 616,085 1,848,256 924,128 462,064 231,032 115,516 57,758 28,879 86,638 43,319 129,958 64,979 194,938 97,469 292,408 146,204

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