λ
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Atlas › Integer Profiles › Node 48,131,982

48,131,982

2 × 35 × 97 × 1021
Abundant Even Composite

48,131,982 factors as 2 × 3^5 × 97 × 1021. Its 48 positive divisors give a proper-divisor sum of 61,238,370, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 97 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 109,370,352
Proper Divisor Sum 61,238,370
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #48131969 ← → #48131987

Radix Representation

Decimal 48131982
Binary 10110111100110111110001110 (26 bits)
Octal 0o267467616
Hexadecimal 0x2DE6F8E

Divisor Catalog (48)

1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 873 1,021 1,746 2,042 2,619 3,063 5,238 6,126 7,857 9,189 15,714 18,378 23,571 27,567 47,142 55,134 82,701 99,037 165,402 198,074 248,103 297,111 496,206 594,222 891,333 1,782,666 2,673,999 5,347,998 8,021,997 16,043,994 24,065,991 48,131,982

Collatz Trajectory (230 steps to reach 1)

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

48,131,982 24,065,991 72,197,974 36,098,987 108,296,962 54,148,481 162,445,444 81,222,722 40,611,361 121,834,084 60,917,042 30,458,521 91,375,564 45,687,782 22,843,891 68,531,674 34,265,837 102,797,512 51,398,756 25,699,378 12,849,689 38,549,068 19,274,534 9,637,267 28,911,802 14,455,901 43,367,704 21,683,852 10,841,926 5,420,963 16,262,890 8,131,445 24,394,336 12,197,168 6,098,584 3,049,292 1,524,646 762,323 2,286,970 1,143,485 3,430,456 1,715,228 857,614 428,807 1,286,422 643,211 1,929,634 964,817 2,894,452 1,447,226 723,613 2,170,840 1,085,420 542,710 271,355 814,066 407,033 1,221,100 610,550 305,275

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