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The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every triangular number is either divisible by three or has a ...
1770 = 59th triangular number, [28] hexagonal number, [29] Seventeen Seventy, town in Australia; 1771 = tetrahedral number [129] 1772 = centered heptagonal number, [69] sum of totient function for first 76 integers; 1773 = number of words of length 5 over the alphabet {1,2,3,4,5} such that no two even numbers appear consecutively [411]
Thus, a billion is 1000 × 1000 2 = 10 9; a trillion is 1000 × 1000 3 = 10 12; and so forth. Due to its dominance in the financial world (and by the US dollar), this was adopted for official United Nations documents. Traditional French usage has varied; in 1948, France, which had originally popularized the short scale worldwide, reverted to ...
Each layer represents one of the first five triangular numbers. A truncated triangular pyramid number [1] is found by removing some smaller tetrahedral number (or triangular pyramidal number) from each of the vertices of a bigger tetrahedral number. The number to be removed may be same or different from each of the vertices. [2]
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
Te n is the sum of all products p × q where (p, q) are ordered pairs and p + q = n + 1; Te n is the number of (n + 2)-bit numbers that contain two runs of 1's in their binary expansion. The largest tetrahedral number of the form + + for some integers and is 8436.
Is the sum of all the numbers on a roulette wheel (0 through 36). [19] This is a corollary of the fact that the number is a Triangular number, as mentioned earlier. Was a winning lottery number in the 1980 Pennsylvania Lottery scandal, in which equipment was tampered to favor a 4 or 6 as each of the three individual random digits. [21]
This is an accepted version of this page This is the latest accepted revision, reviewed on 3 February 2025. See also: Orders of magnitude (numbers) and Long and short scales Natural number 1000000000 List of numbers Integers ← 10 0 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 Cardinal One billion (short scale) One thousand million, or one milliard (long scale) Ordinal One billionth (short ...