277200

Appears in sequences

• Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record.at n=32A002182
• Superabundant [or super-abundant] numbers: n such that sigma(n)/n > sigma(m)/m for all m < n, sigma(n) being A000203(n), the sum of the divisors of n.at n=26A004394
• Where records occur in A038548.at n=29A004778
• From solution to a difference equation.at n=7A005921
• Theta series of the coset of the E_7 lattice in its dual.at n=22A005931
• Least common multiple of the first n composite numbers.at n=15A025543
• Triangle read by rows, the Bell transform of n!*binomial(5,n) (without column 0).at n=29A049411
• Product of numbers < n which do not divide n (or 1 if no such numbers exist).at n=11A055067
• Triangle read by rows: row n consists of the nonzero coefficients of the expansion of 2^n x^n in terms of Hermite polynomials with decreasing subscripts.at n=40A059344
• Numbers with an increasing number of nonprime divisors.at n=39A059992
• Fourth (unsigned) column sequence of triangle A062140 (generalized a=4 Laguerre).at n=4A062261
• Distinct values arising in the sequence of the least common multiples of the first n composite numbers.at n=9A064354
• Consider the subsets of proper divisors of a number that sum to the number. These are numbers that set a record number of such subsets.at n=30A065218
• Numbers k that are repdigits in more bases (smaller than k) than any smaller number.at n=31A066044
• a(n) = (2*n+1)*(2*n+2)*(2*n+4)*(2*n+5).at n=10A069079
• a(n) = core(1)*core(2)*...*core(n) where core(n) is the squarefree part of n (A007913).at n=10A069260
• Numbers m such that sigma(m)/m is equal to sigma(k)/k for some k being superabundant (A004394).at n=44A073349
• Square roots of squares pertaining to A076123.at n=8A076124
• Numbers k such that sigma(k)/k >= sigma(m)/m for all m <= k.at n=26A077006
• Where records occur in A083206.at n=28A083212