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Atlas › Integer Profiles › Node 25,116

25,116

22 × 3 × 7 × 13 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 75,264
Proper Divisor Sum 50,148
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #25111 ← → #25117

Radix Representation

Decimal 25116
Binary 110001000011100 (15 bits)
Octal 0o61034
Hexadecimal 0x621C

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1,092 1,196 1,794 1,932 2,093 3,588 4,186 6,279 8,372 12,558 25,116

Collatz Trajectory (108 steps to reach 1)

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

25,116 12,558 6,279 18,838 9,419 28,258 14,129 42,388 21,194 10,597 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962

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