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Atlas › Integer Profiles › Node 6,563,740

6,563,740

22 × 5 × 19 × 23 × 751
Abundant Even Composite

6,563,740 factors as 2^2 × 5 × 19 × 23 × 751. Its 48 positive divisors give a proper-divisor sum of 8,596,580, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 23 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,160,320
Proper Divisor Sum 8,596,580
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6563729 ← → #6563743

Radix Representation

Decimal 6563740
Binary 11001000010011110011100 (23 bits)
Octal 0o31023634
Hexadecimal 0x64279C

Divisor Catalog (48)

1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 751 874 1,502 1,748 2,185 3,004 3,755 4,370 7,510 8,740 14,269 15,020 17,273 28,538 34,546 57,076 69,092 71,345 86,365 142,690 172,730 285,380 328,187 345,460 656,374 1,312,748 1,640,935 3,281,870 6,563,740

Collatz Trajectory (170 steps to reach 1)

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

6,563,740 3,281,870 1,640,935 4,922,806 2,461,403 7,384,210 3,692,105 11,076,316 5,538,158 2,769,079 8,307,238 4,153,619 12,460,858 6,230,429 18,691,288 9,345,644 4,672,822 2,336,411 7,009,234 3,504,617 10,513,852 5,256,926 2,628,463 7,885,390 3,942,695 11,828,086 5,914,043 17,742,130 8,871,065 26,613,196 13,306,598 6,653,299 19,959,898 9,979,949 29,939,848 14,969,924 7,484,962 3,742,481 11,227,444 5,613,722 2,806,861 8,420,584 4,210,292 2,105,146 1,052,573 3,157,720 1,578,860 789,430 394,715 1,184,146 592,073 1,776,220 888,110 444,055 1,332,166 666,083 1,998,250 999,125 2,997,376 1,498,688

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