def sum_divisors(n): arr = [] dic = {1:1} for i in range(1,int(n/2+1),1): if n % i == 0: arr.append(i) dic[n] = sum(arr) return arr two = [2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,131072,262144,524288,1048576,2097152,4194304 ,8388608,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,2147483648,4294967296,8589934592 ,17179869184,34359738368,68719476736,137438953472,274877906944,549755813888] three = [9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 177147, 531441, 1594323, 4782969, 14348907, 43046721, 129140163, 387420489, 1162261467, 3486784401, 10460353203, 31381059609, 94143178827, 282429536481, 847288609443] five = [25, 125, 625, 3125, 15625, 78125, 390625, 1953125, 9765625, 48828125, 244140625, 1220703125, 6103515625, 30517578125, 152587890625, 762939453125] seven =[49, 343, 2401, 16807, 117649, 823543, 5764801, 40353607, 282475249, 1977326743, 13841287201, 96889010407, 678223072849] eleven = [121, 1331, 14641, 161051, 1771561, 19487171, 214358881, 2357947691, 25937424601, 285311670611] thirteen = [169, 2197, 28561, 371293, 4826809, 62748517, 815730721, 10604499373, 137858491849] seventeen = [289, 4913, 83521, 1419857, 24137569, 410338673, 6975757441, 118587876497] al = [] t = int(raw_input()) inp = map(int, raw_input().strip().split()) for i in range(0,len(inp),1): arr = sum_divisors(inp[i]) l = sorted(arr, reverse = True) tot = 0 for j in range(0,len(l),1): if l[j] in two: div = inp[i]/l[j] tot = tot + div #print tot for j in range(0,len(l),1): if l[j] in three: div = inp[i]/l[j] tot = tot + div #print tot for j in range(0,len(l),1): if l[j] in five: div = inp[i]/l[j] tot = tot + div #print tot for j in range(0,len(l),1): if l[j] in seven: div = inp[i]/l[j] tot = tot + div #print tot for j in range(0,len(l),1): if l[j] in eleven: div = inp[i]/l[j] tot = tot + div #print tot for j in range(0,len(l),1): if l[j] in thirteen: div = inp[i]/l[j] tot = tot + div #print tot for j in range(0,len(l),1): if l[j] in seventeen: div = inp[i]/l[j] tot = tot + div tl = tot + inp[i] + 1 if tl == 2: al.append(tl-1) else: al.append(tl) print sum(al)