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Atlas › Integer Profiles › Node 27,914,500

27,914,500

22 × 53 × 55829
Abundant Even Composite

27,914,500 factors as 2^2 × 5^3 × 55829. Its 24 positive divisors give a proper-divisor sum of 33,051,860, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 55829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 60,966,360
Proper Divisor Sum 33,051,860
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #27914489 ← → #27914519

Radix Representation

Decimal 27914500
Binary 1101010011111000100000100 (25 bits)
Octal 0o152370404
Hexadecimal 0x1A9F104

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 55,829 111,658 223,316 279,145 558,290 1,116,580 1,395,725 2,791,450 5,582,900 6,978,625 13,957,250 27,914,500

Collatz Trajectory (206 steps to reach 1)

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

27,914,500 13,957,250 6,978,625 20,935,876 10,467,938 5,233,969 15,701,908 7,850,954 3,925,477 11,776,432 5,888,216 2,944,108 1,472,054 736,027 2,208,082 1,104,041 3,312,124 1,656,062 828,031 2,484,094 1,242,047 3,726,142 1,863,071 5,589,214 2,794,607 8,383,822 4,191,911 12,575,734 6,287,867 18,863,602 9,431,801 28,295,404 14,147,702 7,073,851 21,221,554 10,610,777 31,832,332 15,916,166 7,958,083 23,874,250 11,937,125 35,811,376 17,905,688 8,952,844 4,476,422 2,238,211 6,714,634 3,357,317 10,071,952 5,035,976 2,517,988 1,258,994 629,497 1,888,492 944,246 472,123 1,416,370 708,185 2,124,556 1,062,278

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