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Atlas › Integer Profiles › Node 17,023,000

17,023,000

23 × 53 × 29 × 587
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^3 × 29 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 41,277,600
Proper Divisor Sum 24,254,600
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #17022991 ← → #17023003

Radix Representation

Decimal 17023000
Binary 1000000111100000000011000 (25 bits)
Octal 0o100740030
Hexadecimal 0x103C018

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 587 725 1,000 1,160 1,174 1,450 2,348 2,900 2,935 3,625 4,696 5,800 5,870 7,250 11,740 14,500 14,675 17,023 23,480 29,000 29,350 34,046 58,700 68,092 73,375 85,115 117,400 136,184 146,750 170,230 293,500 340,460 425,575 587,000 680,920 851,150 1,702,300 2,127,875

Collatz Trajectory (125 steps to reach 1)

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

17,023,000 8,511,500 4,255,750 2,127,875 6,383,626 3,191,813 9,575,440 4,787,720 2,393,860 1,196,930 598,465 1,795,396 897,698 448,849 1,346,548 673,274 336,637 1,009,912 504,956 252,478 126,239 378,718 189,359 568,078 284,039 852,118 426,059 1,278,178 639,089 1,917,268 958,634 479,317 1,437,952 718,976 359,488 179,744 89,872 44,936 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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