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Atlas › Integer Profiles › Node 57,740,312

57,740,312

23 × 7 × 269 × 3833
Abundant Even Composite

57,740,312 factors as 2^3 × 7 × 269 × 3833. Its 32 positive divisors give a proper-divisor sum of 66,481,288, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 269 × 3833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 124,221,600
Proper Divisor Sum 66,481,288
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #57740311 ← → #57740323

Radix Representation

Decimal 57740312
Binary 11011100010000110000011000 (26 bits)
Octal 0o334206030
Hexadecimal 0x3710C18

Divisor Catalog (32)

1 2 4 7 8 14 28 56 269 538 1,076 1,883 2,152 3,766 3,833 7,532 7,666 15,064 15,332 26,831 30,664 53,662 107,324 214,648 1,031,077 2,062,154 4,124,308 7,217,539 8,248,616 14,435,078 28,870,156 57,740,312

Collatz Trajectory (75 steps to reach 1)

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

57,740,312 28,870,156 14,435,078 7,217,539 21,652,618 10,826,309 32,478,928 16,239,464 8,119,732 4,059,866 2,029,933 6,089,800 3,044,900 1,522,450 761,225 2,283,676 1,141,838 570,919 1,712,758 856,379 2,569,138 1,284,569 3,853,708 1,926,854 963,427 2,890,282 1,445,141 4,335,424 2,167,712 1,083,856 541,928 270,964 135,482 67,741 203,224 101,612 50,806 25,403 76,210 38,105 114,316 57,158 28,579 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696

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