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Atlas › Integer Profiles › Node 23,463,570

23,463,570

2 × 3 × 5 × 13 × 17 × 3539
Abundant Even Composite

23,463,570 factors as 2 × 3 × 5 × 13 × 17 × 3539. Its 64 positive divisors give a proper-divisor sum of 40,766,190, so this integer is abundant. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 17 × 3539
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 64,229,760
Proper Divisor Sum 40,766,190
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #23463563 ← → #23463571

Radix Representation

Decimal 23463570
Binary 1011001100000011010010010 (25 bits)
Octal 0o131403222
Hexadecimal 0x1660692

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1,105 1,326 2,210 3,315 3,539 6,630 7,078 10,617 17,695 21,234 35,390 46,007 53,085 60,163 92,014 106,170 120,326 138,021 180,489 230,035 276,042 300,815 360,978 460,070 601,630 690,105 782,119 902,445 1,380,210 1,564,238 1,804,890 2,346,357 3,910,595

Collatz Trajectory (322 steps to reach 1)

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

23,463,570 11,731,785 35,195,356 17,597,678 8,798,839 26,396,518 13,198,259 39,594,778 19,797,389 59,392,168 29,696,084 14,848,042 7,424,021 22,272,064 11,136,032 5,568,016 2,784,008 1,392,004 696,002 348,001 1,044,004 522,002 261,001 783,004 391,502 195,751 587,254 293,627 880,882 440,441 1,321,324 660,662 330,331 990,994 495,497 1,486,492 743,246 371,623 1,114,870 557,435 1,672,306 836,153 2,508,460 1,254,230 627,115 1,881,346 940,673 2,822,020 1,411,010 705,505 2,116,516 1,058,258 529,129 1,587,388 793,694 396,847 1,190,542 595,271 1,785,814 892,907

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