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Atlas › Integer Profiles › Node 6,941,350

6,941,350

2 × 52 × 13 × 59 × 181
Abundant Even Composite

6,941,350 factors as 2 × 5^2 × 13 × 59 × 181. Its 48 positive divisors give a proper-divisor sum of 7,276,490, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 59 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,217,840
Proper Divisor Sum 7,276,490
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6941339 ← → #6941369

Radix Representation

Decimal 6941350
Binary 11010011110101010100110 (23 bits)
Octal 0o32365246
Hexadecimal 0x69EAA6

Divisor Catalog (48)

1 2 5 10 13 25 26 50 59 65 118 130 181 295 325 362 590 650 767 905 1,475 1,534 1,810 2,353 2,950 3,835 4,525 4,706 7,670 9,050 10,679 11,765 19,175 21,358 23,530 38,350 53,395 58,825 106,790 117,650 138,827 266,975 277,654 533,950 694,135 1,388,270 3,470,675 6,941,350

Collatz Trajectory (134 steps to reach 1)

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

6,941,350 3,470,675 10,412,026 5,206,013 15,618,040 7,809,020 3,904,510 1,952,255 5,856,766 2,928,383 8,785,150 4,392,575 13,177,726 6,588,863 19,766,590 9,883,295 29,649,886 14,824,943 44,474,830 22,237,415 66,712,246 33,356,123 100,068,370 50,034,185 150,102,556 75,051,278 37,525,639 112,576,918 56,288,459 168,865,378 84,432,689 253,298,068 126,649,034 63,324,517 189,973,552 94,986,776 47,493,388 23,746,694 11,873,347 35,620,042 17,810,021 53,430,064 26,715,032 13,357,516 6,678,758 3,339,379 10,018,138 5,009,069 15,027,208 7,513,604 3,756,802 1,878,401 5,635,204 2,817,602 1,408,801 4,226,404 2,113,202 1,056,601 3,169,804 1,584,902

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