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Atlas › Integer Profiles › Node 41,713,870

41,713,870

2 × 5 × 11 × 43 × 8819
Abundant Even Composite

41,713,870 factors as 2 × 5 × 11 × 43 × 8819. Its 32 positive divisors give a proper-divisor sum of 42,111,410, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 43 × 8819
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,825,280
Proper Divisor Sum 42,111,410
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #41713853 ← → #41713871

Radix Representation

Decimal 41713870
Binary 10011111001000000011001110 (26 bits)
Octal 0o237100316
Hexadecimal 0x27C80CE

Divisor Catalog (32)

1 2 5 10 11 22 43 55 86 110 215 430 473 946 2,365 4,730 8,819 17,638 44,095 88,190 97,009 194,018 379,217 485,045 758,434 970,090 1,896,085 3,792,170 4,171,387 8,342,774 20,856,935 41,713,870

Collatz Trajectory (235 steps to reach 1)

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

41,713,870 20,856,935 62,570,806 31,285,403 93,856,210 46,928,105 140,784,316 70,392,158 35,196,079 105,588,238 52,794,119 158,382,358 79,191,179 237,573,538 118,786,769 356,360,308 178,180,154 89,090,077 267,270,232 133,635,116 66,817,558 33,408,779 100,226,338 50,113,169 150,339,508 75,169,754 37,584,877 112,754,632 56,377,316 28,188,658 14,094,329 42,282,988 21,141,494 10,570,747 31,712,242 15,856,121 47,568,364 23,784,182 11,892,091 35,676,274 17,838,137 53,514,412 26,757,206 13,378,603 40,135,810 20,067,905 60,203,716 30,101,858 15,050,929 45,152,788 22,576,394 11,288,197 33,864,592 16,932,296 8,466,148 4,233,074 2,116,537 6,349,612 3,174,806 1,587,403

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