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Atlas › Integer Profiles › Node 57,750,858

57,750,858

2 × 32 × 11 × 37 × 7883
Abundant Even Composite

57,750,858 factors as 2 × 3^2 × 11 × 37 × 7883. Its 48 positive divisors give a proper-divisor sum of 82,458,198, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 37 × 7883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 140,209,056
Proper Divisor Sum 82,458,198
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57750779 ← → #57750859

Radix Representation

Decimal 57750858
Binary 11011100010011010101001010 (26 bits)
Octal 0o334232512
Hexadecimal 0x371354A

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1,221 2,442 3,663 7,326 7,883 15,766 23,649 47,298 70,947 86,713 141,894 173,426 260,139 291,671 520,278 583,342 780,417 875,013 1,560,834 1,750,026 2,625,039 3,208,381 5,250,078 6,416,762 9,625,143 19,250,286 28,875,429 57,750,858

Collatz Trajectory (238 steps to reach 1)

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

57,750,858 28,875,429 86,626,288 43,313,144 21,656,572 10,828,286 5,414,143 16,242,430 8,121,215 24,363,646 12,181,823 36,545,470 18,272,735 54,818,206 27,409,103 82,227,310 41,113,655 123,340,966 61,670,483 185,011,450 92,505,725 277,517,176 138,758,588 69,379,294 34,689,647 104,068,942 52,034,471 156,103,414 78,051,707 234,155,122 117,077,561 351,232,684 175,616,342 87,808,171 263,424,514 131,712,257 395,136,772 197,568,386 98,784,193 296,352,580 148,176,290 74,088,145 222,264,436 111,132,218 55,566,109 166,698,328 83,349,164 41,674,582 20,837,291 62,511,874 31,255,937 93,767,812 46,883,906 23,441,953 70,325,860 35,162,930 17,581,465 52,744,396 26,372,198 13,186,099

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