λ
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Atlas › Integer Profiles › Node 31,858,090

31,858,090

2 × 5 × 112 × 113 × 233
Abundant Even Composite

31,858,090 factors as 2 × 5 × 11^2 × 113 × 233. Its 48 positive divisors give a proper-divisor sum of 32,004,254, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 113 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,862,344
Proper Divisor Sum 32,004,254
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #31858087 ← → #31858097

Radix Representation

Decimal 31858090
Binary 1111001100001110110101010 (25 bits)
Octal 0o171416652
Hexadecimal 0x1E61DAA

Divisor Catalog (48)

1 2 5 10 11 22 55 110 113 121 226 233 242 466 565 605 1,130 1,165 1,210 1,243 2,330 2,486 2,563 5,126 6,215 12,430 12,815 13,673 25,630 26,329 27,346 28,193 52,658 56,386 68,365 131,645 136,730 140,965 263,290 281,930 289,619 579,238 1,448,095 2,896,190 3,185,809 6,371,618 15,929,045 31,858,090

Collatz Trajectory (188 steps to reach 1)

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

31,858,090 15,929,045 47,787,136 23,893,568 11,946,784 5,973,392 2,986,696 1,493,348 746,674 373,337 1,120,012 560,006 280,003 840,010 420,005 1,260,016 630,008 315,004 157,502 78,751 236,254 118,127 354,382 177,191 531,574 265,787 797,362 398,681 1,196,044 598,022 299,011 897,034 448,517 1,345,552 672,776 336,388 168,194 84,097 252,292 126,146 63,073 189,220 94,610 47,305 141,916 70,958 35,479 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614

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