λ
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Atlas › Integer Profiles › Node 57,744,834

57,744,834

2 × 3 × 72 × 59 × 3329
Abundant Even Composite

57,744,834 factors as 2 × 3 × 7^2 × 59 × 3329. Its 48 positive divisors give a proper-divisor sum of 78,918,366, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 59 × 3329
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 136,663,200
Proper Divisor Sum 78,918,366
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57744833 ← → #57744853

Radix Representation

Decimal 57744834
Binary 11011100010001110111000010 (26 bits)
Octal 0o334216702
Hexadecimal 0x3711DC2

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1,239 2,478 2,891 3,329 5,782 6,658 8,673 9,987 17,346 19,974 23,303 46,606 69,909 139,818 163,121 196,411 326,242 392,822 489,363 589,233 978,726 1,178,466 1,374,877 2,749,754 4,124,631 8,249,262 9,624,139 19,248,278 28,872,417 57,744,834

Collatz Trajectory (176 steps to reach 1)

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

57,744,834 28,872,417 86,617,252 43,308,626 21,654,313 64,962,940 32,481,470 16,240,735 48,722,206 24,361,103 73,083,310 36,541,655 109,624,966 54,812,483 164,437,450 82,218,725 246,656,176 123,328,088 61,664,044 30,832,022 15,416,011 46,248,034 23,124,017 69,372,052 34,686,026 17,343,013 52,029,040 26,014,520 13,007,260 6,503,630 3,251,815 9,755,446 4,877,723 14,633,170 7,316,585 21,949,756 10,974,878 5,487,439 16,462,318 8,231,159 24,693,478 12,346,739 37,040,218 18,520,109 55,560,328 27,780,164 13,890,082 6,945,041 20,835,124 10,417,562 5,208,781 15,626,344 7,813,172 3,906,586 1,953,293 5,859,880 2,929,940 1,464,970 732,485 2,197,456

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