57,734,958

2 × 3 × 17 × 19 × 31³

57,734,958 factors as 2 × 3 × 17 × 19 × 31^3. Its 64 positive divisors give a proper-divisor sum of 75,251,922, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 19 × 31^3

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 132,986,880

Proper Divisor Sum 75,251,922

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #57734917 ← → #57734959

Radix Representation

Decimal	57734958
Binary	11011100001111011100101110 (26 bits)
Octal	0o334173456
Hexadecimal	0x370F72E

Divisor Catalog (60 of 64)

1 2 3 6 17 19 31 34 38 51 57 62 93 102 114 186 323 527 589 646 961 969 1,054 1,178 1,581 1,767 1,922 1,938 2,883 3,162 3,534 5,766 10,013 16,337 18,259 20,026 29,791 30,039 32,674 36,518 49,011 54,777 59,582 60,078 89,373 98,022 109,554 178,746 310,403 506,447 566,029 620,806 931,209 1,012,894 1,132,058 1,519,341 1,698,087 1,862,418 3,038,682 3,396,174

Collatz Trajectory (238 steps to reach 1)

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

57,734,958 28,867,479 86,602,438 43,301,219 129,903,658 64,951,829 194,855,488 97,427,744 48,713,872 24,356,936 12,178,468 6,089,234 3,044,617 9,133,852 4,566,926 2,283,463 6,850,390 3,425,195 10,275,586 5,137,793 15,413,380 7,706,690 3,853,345 11,560,036 5,780,018 2,890,009 8,670,028 4,335,014 2,167,507 6,502,522 3,251,261 9,753,784 4,876,892 2,438,446 1,219,223 3,657,670 1,828,835 5,486,506 2,743,253 8,229,760 4,114,880 2,057,440 1,028,720 514,360 257,180 128,590 64,295 192,886 96,443 289,330 144,665 433,996 216,998 108,499 325,498 162,749 488,248 244,124 122,062 61,031

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