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Atlas › Integer Profiles › Node 17,513,800

17,513,800

23 × 52 × 67 × 1307
Abundant Even Composite

17,513,800 factors as 2^3 × 5^2 × 67 × 1307. Its 48 positive divisors give a proper-divisor sum of 23,845,160, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 67 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,358,960
Proper Divisor Sum 23,845,160
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17513777 ← → #17513803

Radix Representation

Decimal 17513800
Binary 1000010110011110101001000 (25 bits)
Octal 0o102636510
Hexadecimal 0x10B3D48

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1,307 1,340 1,675 2,614 2,680 3,350 5,228 6,535 6,700 10,456 13,070 13,400 26,140 32,675 52,280 65,350 87,569 130,700 175,138 261,400 350,276 437,845 700,552 875,690 1,751,380 2,189,225 3,502,760 4,378,450 8,756,900 17,513,800

Collatz Trajectory (169 steps to reach 1)

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

17,513,800 8,756,900 4,378,450 2,189,225 6,567,676 3,283,838 1,641,919 4,925,758 2,462,879 7,388,638 3,694,319 11,082,958 5,541,479 16,624,438 8,312,219 24,936,658 12,468,329 37,404,988 18,702,494 9,351,247 28,053,742 14,026,871 42,080,614 21,040,307 63,120,922 31,560,461 94,681,384 47,340,692 23,670,346 11,835,173 35,505,520 17,752,760 8,876,380 4,438,190 2,219,095 6,657,286 3,328,643 9,985,930 4,992,965 14,978,896 7,489,448 3,744,724 1,872,362 936,181 2,808,544 1,404,272 702,136 351,068 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082

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