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Atlas › Integer Profiles › Node 6,741,580

6,741,580

22 × 5 × 19 × 113 × 157
Abundant Even Composite

6,741,580 factors as 2^2 × 5 × 19 × 113 × 157. Its 48 positive divisors give a proper-divisor sum of 8,388,500, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 113 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,130,080
Proper Divisor Sum 8,388,500
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6741577 ← → #6741587

Radix Representation

Decimal 6741580
Binary 11001101101111001001100 (23 bits)
Octal 0o31557114
Hexadecimal 0x66DE4C

Divisor Catalog (48)

1 2 4 5 10 19 20 38 76 95 113 157 190 226 314 380 452 565 628 785 1,130 1,570 2,147 2,260 2,983 3,140 4,294 5,966 8,588 10,735 11,932 14,915 17,741 21,470 29,830 35,482 42,940 59,660 70,964 88,705 177,410 337,079 354,820 674,158 1,348,316 1,685,395 3,370,790 6,741,580

Collatz Trajectory (222 steps to reach 1)

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

6,741,580 3,370,790 1,685,395 5,056,186 2,528,093 7,584,280 3,792,140 1,896,070 948,035 2,844,106 1,422,053 4,266,160 2,133,080 1,066,540 533,270 266,635 799,906 399,953 1,199,860 599,930 299,965 899,896 449,948 224,974 112,487 337,462 168,731 506,194 253,097 759,292 379,646 189,823 569,470 284,735 854,206 427,103 1,281,310 640,655 1,921,966 960,983 2,882,950 1,441,475 4,324,426 2,162,213 6,486,640 3,243,320 1,621,660 810,830 405,415 1,216,246 608,123 1,824,370 912,185 2,736,556 1,368,278 684,139 2,052,418 1,026,209 3,078,628 1,539,314

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