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Atlas › Integer Profiles › Node 57,798,618

57,798,618

2 × 3 × 107 × 197 × 457
Abundant Even Composite

57,798,618 factors as 2 × 3 × 107 × 197 × 457. Its 32 positive divisors give a proper-divisor sum of 59,727,846, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 107 × 197 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,526,464
Proper Divisor Sum 59,727,846
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #57798617 ← → #57798619

Radix Representation

Decimal 57798618
Binary 11011100011110111111011010 (26 bits)
Octal 0o334367732
Hexadecimal 0x371EFDA

Divisor Catalog (32)

1 2 3 6 107 197 214 321 394 457 591 642 914 1,182 1,371 2,742 21,079 42,158 48,899 63,237 90,029 97,798 126,474 146,697 180,058 270,087 293,394 540,174 9,633,103 19,266,206 28,899,309 57,798,618

Collatz Trajectory (207 steps to reach 1)

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

57,798,618 28,899,309 86,697,928 43,348,964 21,674,482 10,837,241 32,511,724 16,255,862 8,127,931 24,383,794 12,191,897 36,575,692 18,287,846 9,143,923 27,431,770 13,715,885 41,147,656 20,573,828 10,286,914 5,143,457 15,430,372 7,715,186 3,857,593 11,572,780 5,786,390 2,893,195 8,679,586 4,339,793 13,019,380 6,509,690 3,254,845 9,764,536 4,882,268 2,441,134 1,220,567 3,661,702 1,830,851 5,492,554 2,746,277 8,238,832 4,119,416 2,059,708 1,029,854 514,927 1,544,782 772,391 2,317,174 1,158,587 3,475,762 1,737,881 5,213,644 2,606,822 1,303,411 3,910,234 1,955,117 5,865,352 2,932,676 1,466,338 733,169 2,199,508

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